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$(".js-view-count[data-work-id=7047069]").text(description); $(".js-view-count-work_7047069").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_7047069").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="7047069"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">5</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="44130" href="https://www.academia.edu/Documents/in/Early_Childhood_Mathematics">Early Childhood Mathematics</a><script data-card-contents-for-ri="44130" type="text/json">{"id":44130,"name":"Early Childhood Mathematics","url":"https://www.academia.edu/Documents/in/Early_Childhood_Mathematics?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=7047069]'), work: {"id":7047069,"title":"The Building Blocks of Early Mathematics: Learning Trajectories for Young Children","created_at":"2014-05-14T09:56:02.594-07:00","url":"https://www.academia.edu/7047069/The_Building_Blocks_of_Early_Mathematics_Learning_Trajectories_for_Young_Children?f_ri=22277","dom_id":"work_7047069","summary":null,"downloadable_attachments":[{"id":33701093,"asset_id":7047069,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":44130,"name":"Early Childhood Mathematics","url":"https://www.academia.edu/Documents/in/Early_Childhood_Mathematics?f_ri=22277","nofollow":false},{"id":872184,"name":"Learning Trajectories in Mathematics Education","url":"https://www.academia.edu/Documents/in/Learning_Trajectories_in_Mathematics_Education?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_44011736 coauthored" data-work_id="44011736" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/44011736/Participating_in_Physical_Classes_Using_Eduball_Stimulates_Acquisition_of_Mathematical_Knowledge_and_Skills_by_Primary_School_Students">Participating in Physical Classes Using Eduball Stimulates Acquisition of Mathematical Knowledge and Skills by Primary School Students</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">An increasing number of studies are evidencing relationships between physical activity and the mathematical performance of early school students. This is not surprising due to the fact that children grow in all areas simultaneously and... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_44011736" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">An increasing number of studies are evidencing relationships between physical activity and the mathematical performance of early school students. This is not surprising due to the fact that children grow in all areas simultaneously and their motor and intellectual development determine each other. Nevertheless, such an approach of combining mathematics education with physical exercises, in addition through play, which is the basis of children's activity and the preferred way of spending time, it is still rare at schools. In response to this problem "Eduball" has been created, which are educational balls with printed letters, numbers and other signs, used for team mini-games. Surprisingly, despite the studies on general usefulness of Eduball in preschool and early-school education and the effects of physical exercise classes carried out using these balls, still little is known about their impact on mathematical development. Here we investigate the relationships between the use of Eduball and the acquisition of mathematical knowledge and skills by children. We used a quantitative approach in the form of an experiment in natural settings in which seven-year-old students (first grade) took part (N=25). For the purposes of this experiment we created scenarios of physical exercise classes integrated with mathematical contents that used Eduball. Mathematical knowledge and skills were assessed by one of the commonly used tests. The results were compared with the data from the control group of traditional physical education classes (N=22). As assumed, after a one-year experiment students from both groups improved their results, but we found a greater progress in terms of mathematical knowledge and skills in the experimental class compared to the control one. Eduball particularly affected competences related to such mathematical categories as: sets and their elements, multiplication and division, geometric shapes and measuring length, measuring volume and mass. In sum, our results show that physical exercise classes that used Eduball stimulate the acquisition of mathematical competences by students, and, consequently, confirm that there is a strong relation of physical and mathematical development. Therefore, there is a need to review children's educational models, as well as primary school curricula, to combine physical and cognitive activities.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/44011736" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="edc7fd81cdc66f835d592ebeeec363d8" rel="nofollow" data-download="{"attachment_id":64346140,"asset_id":44011736,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/64346140/download_file?st=MTczMzAzOTAwOSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="107193796" href="https://amu.academia.edu/AgnieszkaKruszwicka">Agnieszka Kruszwicka</a><script data-card-contents-for-user="107193796" type="text/json">{"id":107193796,"first_name":"Agnieszka","last_name":"Kruszwicka","domain_name":"amu","page_name":"AgnieszkaKruszwicka","display_name":"Agnieszka Kruszwicka","profile_url":"https://amu.academia.edu/AgnieszkaKruszwicka?f_ri=22277","photo":"https://0.academia-photos.com/107193796/36343560/31162629/s65_agnieszka.kruszwicka.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-44011736">+2</span><div class="hidden js-additional-users-44011736"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://amu.academia.edu/TomaszPrzyby%C5%82a">Tomasz Przybyla</a></span></div><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://amu.academia.edu/MichalKlichowski">Michal Klichowski</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-44011736'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-44011736').html(); 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This is not surprising due to the fact that children grow in all areas simultaneously and their motor and intellectual development determine each other. Nevertheless, such an approach of combining mathematics education with physical exercises, in addition through play, which is the basis of children's activity and the preferred way of spending time, it is still rare at schools. In response to this problem \"Eduball\" has been created, which are educational balls with printed letters, numbers and other signs, used for team mini-games. Surprisingly, despite the studies on general usefulness of Eduball in preschool and early-school education and the effects of physical exercise classes carried out using these balls, still little is known about their impact on mathematical development. Here we investigate the relationships between the use of Eduball and the acquisition of mathematical knowledge and skills by children. We used a quantitative approach in the form of an experiment in natural settings in which seven-year-old students (first grade) took part (N=25). For the purposes of this experiment we created scenarios of physical exercise classes integrated with mathematical contents that used Eduball. Mathematical knowledge and skills were assessed by one of the commonly used tests. The results were compared with the data from the control group of traditional physical education classes (N=22). As assumed, after a one-year experiment students from both groups improved their results, but we found a greater progress in terms of mathematical knowledge and skills in the experimental class compared to the control one. Eduball particularly affected competences related to such mathematical categories as: sets and their elements, multiplication and division, geometric shapes and measuring length, measuring volume and mass. 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Education","url":"https://www.academia.edu/Documents/in/Mathematic_Education?f_ri=22277"},{"id":583641,"name":"Innovation of Physical Education and Sports","url":"https://www.academia.edu/Documents/in/Innovation_of_Physical_Education_and_Sports?f_ri=22277"},{"id":652312,"name":"Teaching Methods in Elementary Mathematics Education","url":"https://www.academia.edu/Documents/in/Teaching_Methods_in_Elementary_Mathematics_Education?f_ri=22277"},{"id":970636,"name":"Brain and Education","url":"https://www.academia.edu/Documents/in/Brain_and_Education-3?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_79051766 coauthored" data-work_id="79051766" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/79051766/Luces_y_sombras_del_%C3%A1lgebra_temprana_en_el_curr%C3%ADculo_espa%C3%B1ol_3_12_a%C3%B1os_">Luces y sombras del álgebra temprana en el currículo español (3-12 años).</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Se compara la presencia del álgebra temprana en los currículos españoles de Educación Infantil y Primaria derivados de las tres últimas leyes de educación (LOE, LOMCE y LOMLOE) con el currículo americano, por ser un referente... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_79051766" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Se compara la presencia del álgebra temprana en los currículos españoles de Educación Infantil y Primaria derivados de las tres últimas leyes de educación (LOE, LOMCE y LOMLOE) con el currículo americano, por ser un referente internacional. Los resultados muestran que en Educación Infantil se incluyen relaciones y cambios, pero se omiten los patrones; mientras que en Educación Primaria se incluyen relaciones, patrones, uso de variables, uso de símbolos algebraicos y modelos matemáticos, pero se omite la comprensión del cambio. Se concluye que es necesario incorporar estos conocimientos y diseñar programas de formación para fomentar la alfabetización algebraica.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/79051766" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="a60eed5da88e0c89aa3b39316be3f305" rel="nofollow" data-download="{"attachment_id":85903944,"asset_id":79051766,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/85903944/download_file?st=MTczMzAzOTAwOSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="542378" href="https://ugirona.academia.edu/AngelAlsina">Angel Alsina</a><script data-card-contents-for-user="542378" type="text/json">{"id":542378,"first_name":"Angel","last_name":"Alsina","domain_name":"ugirona","page_name":"AngelAlsina","display_name":"Angel Alsina","profile_url":"https://ugirona.academia.edu/AngelAlsina?f_ri=22277","photo":"https://0.academia-photos.com/542378/9879688/15244312/s65_angel.alsina.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-79051766">+1</span><div class="hidden js-additional-users-79051766"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://independent.academia.edu/natalypincheira">nataly pincheira</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-79051766'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-79051766').html(); 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Los resultados muestran que en Educación Infantil se incluyen relaciones y cambios, pero se omiten los patrones; mientras que en Educación Primaria se incluyen relaciones, patrones, uso de variables, uso de símbolos algebraicos y modelos matemáticos, pero se omite la comprensión del cambio. Se concluye que es necesario incorporar estos conocimientos y diseñar programas de formación para fomentar la alfabetización algebraica.","downloadable_attachments":[{"id":85903944,"asset_id":79051766,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":542378,"first_name":"Angel","last_name":"Alsina","domain_name":"ugirona","page_name":"AngelAlsina","display_name":"Angel Alsina","profile_url":"https://ugirona.academia.edu/AngelAlsina?f_ri=22277","photo":"https://0.academia-photos.com/542378/9879688/15244312/s65_angel.alsina.jpg"},{"id":24392923,"first_name":"nataly","last_name":"pincheira","domain_name":"independent","page_name":"natalypincheira","display_name":"nataly pincheira","profile_url":"https://independent.academia.edu/natalypincheira?f_ri=22277","photo":"https://0.academia-photos.com/24392923/9893410/11029499/s65_nataly.pincheira.jpg"}],"research_interests":[{"id":329,"name":"Algebra","url":"https://www.academia.edu/Documents/in/Algebra?f_ri=22277","nofollow":false},{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3489,"name":"Curriculum Studies","url":"https://www.academia.edu/Documents/in/Curriculum_Studies?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277"},{"id":31686,"name":"Curriculum and Instruction","url":"https://www.academia.edu/Documents/in/Curriculum_and_Instruction?f_ri=22277"},{"id":72555,"name":"Didáctica de las matemáticas en Educación Básica","url":"https://www.academia.edu/Documents/in/Didactica_de_las_matematicas_en_Educacion_Basica?f_ri=22277"},{"id":79368,"name":"Educación Infantil","url":"https://www.academia.edu/Documents/in/Educaci%C3%B3n_Infantil?f_ri=22277"},{"id":182978,"name":"Educación Matemática","url":"https://www.academia.edu/Documents/in/Educaci%C3%B3n_Matem%C3%A1tica?f_ri=22277"},{"id":298842,"name":"Early Algebra","url":"https://www.academia.edu/Documents/in/Early_Algebra?f_ri=22277"},{"id":386037,"name":"Primary School Education","url":"https://www.academia.edu/Documents/in/Primary_School_Education?f_ri=22277"},{"id":830901,"name":"Educación Primaria","url":"https://www.academia.edu/Documents/in/Educaci%C3%B3n_Primaria?f_ri=22277"},{"id":3334382,"name":"álgebra temprana","url":"https://www.academia.edu/Documents/in/%C3%A1lgebra_temprana?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_44277007" data-work_id="44277007" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/44277007/Myths_of_Early_Math">Myths of Early Math</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Myths about early education abound. Many beliefs people hold about early math have a grain of truth in them, but as a whole are not true-they are largely myths. But the myths persist, and many harm children. In this article, we address... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_44277007" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Myths about early education abound. Many beliefs people hold about early math have a grain of truth in them, but as a whole are not true-they are largely myths. But the myths persist, and many harm children. In this article, we address ubiquitous math myths that may be negatively affecting many young students. We conclude that avoiding the myths and listening to the findings of research and the wisdom of expert practice will serve both teachers and children well.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/44277007" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="a603575bf4e2e1fccf3f5540803e859b" rel="nofollow" data-download="{"attachment_id":64655359,"asset_id":44277007,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/64655359/download_file?st=MTczMzAzOTAwOSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="167067049" href="https://mdpi.academia.edu/EducationSciencesEditorialOffice">Education Sciences</a><script data-card-contents-for-user="167067049" type="text/json">{"id":167067049,"first_name":"Education","last_name":"Sciences","domain_name":"mdpi","page_name":"EducationSciencesEditorialOffice","display_name":"Education Sciences","profile_url":"https://mdpi.academia.edu/EducationSciencesEditorialOffice?f_ri=22277","photo":"https://0.academia-photos.com/167067049/46785679/38837216/s65_education.sciences.png"}</script></span></span></li><li class="js-paper-rank-work_44277007 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="44277007"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 44277007, container: ".js-paper-rank-work_44277007", }); });</script></li><li class="js-percentile-work_44277007 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 44277007; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_44277007"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_44277007 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="44277007"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 44277007; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=44277007]").text(description); $(".js-view-count-work_44277007").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_44277007").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="44277007"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i></div><span class="InlineList-item-text u-textTruncate u-pl6x"><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (false) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=44277007]'), work: {"id":44277007,"title":"Myths of Early Math","created_at":"2020-10-11T23:07:48.786-07:00","url":"https://www.academia.edu/44277007/Myths_of_Early_Math?f_ri=22277","dom_id":"work_44277007","summary":"Myths about early education abound. Many beliefs people hold about early math have a grain of truth in them, but as a whole are not true-they are largely myths. But the myths persist, and many harm children. In this article, we address ubiquitous math myths that may be negatively affecting many young students. We conclude that avoiding the myths and listening to the findings of research and the wisdom of expert practice will serve both teachers and children well.","downloadable_attachments":[{"id":64655359,"asset_id":44277007,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":167067049,"first_name":"Education","last_name":"Sciences","domain_name":"mdpi","page_name":"EducationSciencesEditorialOffice","display_name":"Education Sciences","profile_url":"https://mdpi.academia.edu/EducationSciencesEditorialOffice?f_ri=22277","photo":"https://0.academia-photos.com/167067049/46785679/38837216/s65_education.sciences.png"}],"research_interests":[{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_2773308" data-work_id="2773308" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/2773308/Training_effects_on_the_development_and_generalization_of_Piagetian_logical_operations_and_knowledge_of_number">Training effects on the development and generalization of Piagetian logical operations and knowledge of number</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/2773308" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="cd23bc70db14022ebd0fa489d1b3dec8" rel="nofollow" data-download="{"attachment_id":33588284,"asset_id":2773308,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/33588284/download_file?st=MTczMzAzOTAwOSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_2773308 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="2773308"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 2773308, container: ".js-paper-rank-work_2773308", }); });</script></li><li class="js-percentile-work_2773308 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 2773308; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_2773308"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_2773308 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="2773308"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 2773308; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=2773308]").text(description); $(".js-view-count-work_2773308").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_2773308").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="2773308"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">8</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="30140" href="https://www.academia.edu/Documents/in/Early_Childhood">Early Childhood</a><script data-card-contents-for-ri="30140" type="text/json">{"id":30140,"name":"Early Childhood","url":"https://www.academia.edu/Documents/in/Early_Childhood?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=2773308]'), work: {"id":2773308,"title":"Training effects on the development and generalization of Piagetian logical operations and knowledge of number","created_at":"2013-03-01T23:38:53.346-08:00","url":"https://www.academia.edu/2773308/Training_effects_on_the_development_and_generalization_of_Piagetian_logical_operations_and_knowledge_of_number?f_ri=22277","dom_id":"work_2773308","summary":null,"downloadable_attachments":[{"id":33588284,"asset_id":2773308,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":30140,"name":"Early Childhood","url":"https://www.academia.edu/Documents/in/Early_Childhood?f_ri=22277","nofollow":false},{"id":211728,"name":"Early Childhood Curriculum","url":"https://www.academia.edu/Documents/in/Early_Childhood_Curriculum?f_ri=22277"},{"id":303601,"name":"Social Emotional Learning","url":"https://www.academia.edu/Documents/in/Social_Emotional_Learning?f_ri=22277"},{"id":1222768,"name":"Play and Creativity in the Curriculum","url":"https://www.academia.edu/Documents/in/Play_and_Creativity_in_the_Curriculum?f_ri=22277"},{"id":1222769,"name":"Peer Groups and Their Influence Upon the Learning of Young Children","url":"https://www.academia.edu/Documents/in/Peer_Groups_and_Their_Influence_Upon_the_Learning_of_Young_Children?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_52519480" data-work_id="52519480" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/52519480/The_Building_Blocks_and_TRIAD_Projects">The Building Blocks and TRIAD Projects</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Educational researchers have long complained that practitioners do not use the available evidence, and practitioners in turn bemoan the lack of research that provides practical solutions. Decades ago, we asserted that learning... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_52519480" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Educational researchers have long complained that practitioners do not use the available evidence, and practitioners in turn bemoan the lack of research that provides practical solutions. Decades ago, we asserted that learning trajectories could close that gap in two critical educational activities that depend fundamentally on teachers, and therefore on professional development. e rst was to build, and help teachers implement, a truly research-based curriculum. e second was to scale up implementation of the curriculum to entire districts. Each tells a story of using learning trajectories to support teachers. is chapter addresses these two critical activities by describing our development and research in two closely related projects focused on pre-K to 1st grade (with follow-up assessments many years thereafter). We describe each and then go into detail about what teachers learned and what we learned about using learning trajectories as the core of professional development e orts.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/52519480" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="6207e5e279a4d5d6388fd0e0a9b242aa" rel="nofollow" data-download="{"attachment_id":69749046,"asset_id":52519480,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/69749046/download_file?st=MTczMzAzOTAwOSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_52519480 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="52519480"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 52519480, container: ".js-paper-rank-work_52519480", }); });</script></li><li class="js-percentile-work_52519480 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 52519480; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_52519480"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_52519480 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="52519480"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 52519480; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=52519480]").text(description); $(".js-view-count-work_52519480").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_52519480").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="52519480"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="161282" href="https://www.academia.edu/Documents/in/Scaling_up">Scaling up</a><script data-card-contents-for-ri="161282" type="text/json">{"id":161282,"name":"Scaling up","url":"https://www.academia.edu/Documents/in/Scaling_up?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=52519480]'), work: {"id":52519480,"title":"The Building Blocks and TRIAD Projects","created_at":"2021-09-16T08:44:33.893-07:00","url":"https://www.academia.edu/52519480/The_Building_Blocks_and_TRIAD_Projects?f_ri=22277","dom_id":"work_52519480","summary":"Educational researchers have long complained that practitioners do not use the available evidence, and practitioners in turn bemoan the lack of research that provides practical solutions. Decades ago, we asserted that learning trajectories could close that gap in two critical educational activities that depend fundamentally on teachers, and therefore on professional development. e rst was to build, and help teachers implement, a truly research-based curriculum. e second was to scale up implementation of the curriculum to entire districts. Each tells a story of using learning trajectories to support teachers. is chapter addresses these two critical activities by describing our development and research in two closely related projects focused on pre-K to 1st grade (with follow-up assessments many years thereafter). We describe each and then go into detail about what teachers learned and what we learned about using learning trajectories as the core of professional development e orts.","downloadable_attachments":[{"id":69749046,"asset_id":52519480,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":161282,"name":"Scaling up","url":"https://www.academia.edu/Documents/in/Scaling_up?f_ri=22277","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_5792145" data-work_id="5792145" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/5792145/Scalable_Professional_Development_in_Early_Mathematics_The_Learning_and_Teaching_with_Learning_Trajectories_Tool">Scalable Professional Development in Early Mathematics: The Learning and Teaching with Learning Trajectories Tool</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Reports from two Heising-Simons Foundation-sponsored meetings describe the importance of early mathematics (1) the right of all young children to a high-quality mathematics education, and the need for dramatic, wide-ranging actions to... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_5792145" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Reports from two Heising-Simons Foundation-sponsored meetings describe the importance of early mathematics (1) the right of all young children to a high-quality mathematics education, and the need for dramatic, wide-ranging actions to support the teachers of young children in providing such education. If high-quality mathematics education does not start in preschool and continue through the early years, children can be trapped in a trajectory of failure (2-6). To help meet that need, we are requesting support from the Heising-Simons Foundation to substantially upgrade the technology and impact of “Building Blocks Learning Trajectories” (BBLTs), a web application that constitutes a research-based teacher preparation and professional development tool for educators who teach young children mathematics.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/5792145" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="57808b209968685c8b48ba376e4727e5" rel="nofollow" data-download="{"attachment_id":56762206,"asset_id":5792145,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/56762206/download_file?st=MTczMzAzOTAwOSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_5792145 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="5792145"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 5792145, container: ".js-paper-rank-work_5792145", }); 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$(".js-view-count[data-work-id=5792145]").text(description); $(".js-view-count-work_5792145").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_5792145").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="5792145"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">10</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="1003" href="https://www.academia.edu/Documents/in/Educational_Technology">Educational Technology</a>, <script data-card-contents-for-ri="1003" type="text/json">{"id":1003,"name":"Educational Technology","url":"https://www.academia.edu/Documents/in/Educational_Technology?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="17769" href="https://www.academia.edu/Documents/in/Professional_Development">Professional Development</a><script data-card-contents-for-ri="17769" type="text/json">{"id":17769,"name":"Professional Development","url":"https://www.academia.edu/Documents/in/Professional_Development?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=5792145]'), work: {"id":5792145,"title":"Scalable Professional Development in Early Mathematics: The Learning and Teaching with Learning Trajectories Tool","created_at":"2014-01-21T08:08:47.688-08:00","url":"https://www.academia.edu/5792145/Scalable_Professional_Development_in_Early_Mathematics_The_Learning_and_Teaching_with_Learning_Trajectories_Tool?f_ri=22277","dom_id":"work_5792145","summary":"Reports from two Heising-Simons Foundation-sponsored meetings describe the importance of early mathematics (1) the right of all young children to a high-quality mathematics education, and the need for dramatic, wide-ranging actions to support the teachers of young children in providing such education. If high-quality mathematics education does not start in preschool and continue through the early years, children can be trapped in a trajectory of failure (2-6). To help meet that need, we are requesting support from the Heising-Simons Foundation to substantially upgrade the technology and impact of “Building Blocks Learning Trajectories” (BBLTs), a web application that constitutes a research-based teacher preparation and professional development tool for educators who teach young children mathematics. ","downloadable_attachments":[{"id":56762206,"asset_id":5792145,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":1003,"name":"Educational Technology","url":"https://www.academia.edu/Documents/in/Educational_Technology?f_ri=22277","nofollow":false},{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":17769,"name":"Professional Development","url":"https://www.academia.edu/Documents/in/Professional_Development?f_ri=22277","nofollow":false},{"id":17773,"name":"Teachers' professional development","url":"https://www.academia.edu/Documents/in/Teachers_professional_development-1?f_ri=22277"},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277"},{"id":216818,"name":"Early Childhood Development","url":"https://www.academia.edu/Documents/in/Early_Childhood_Development?f_ri=22277"},{"id":241034,"name":"Mathematics Education in Early Years","url":"https://www.academia.edu/Documents/in/Mathematics_Education_in_Early_Years?f_ri=22277"},{"id":264383,"name":"Math Education in Early Childhood Education with technology support and Training teachers in service","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education_with_technology_support_and_Training_teachers_in_service?f_ri=22277"},{"id":409195,"name":"Technology in Mathematics Education","url":"https://www.academia.edu/Documents/in/Technology_in_Mathematics_Education?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_25678935" data-work_id="25678935" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/25678935/Math_in_the_early_years_ECS_Research_Brief_The_progress_of_educational_reform_">Math in the early years [ECS Research Brief: The progress of educational reform]</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">new new This issue of The Progress of Education Reform reveals five surprising findings about the strong relationship between early math instruction and later student achievement. Researchers have found that early knowledge of math not... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_25678935" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">new new This issue of The Progress of Education Reform reveals five surprising findings about the strong relationship between early math instruction and later student achievement. Researchers have found that early knowledge of math not only predicts later success in math, but also predicts later reading achievement even better than do early reading skills. The paper concludes with implications and recommendations for state policy that will support the development of early math competencies and young children. (Doug Clements and Julie Sarama, University of Denver, October 2013)</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/25678935" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="b25e7b8e199027e4ba49eca47a32aed6" rel="nofollow" data-download="{"attachment_id":46019135,"asset_id":25678935,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/46019135/download_file?st=MTczMzAzOTAwOSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="49351555" href="https://udenver.academia.edu/JSarama">Julie Sarama</a><script data-card-contents-for-user="49351555" type="text/json">{"id":49351555,"first_name":"Julie","last_name":"Sarama","domain_name":"udenver","page_name":"JSarama","display_name":"Julie Sarama","profile_url":"https://udenver.academia.edu/JSarama?f_ri=22277","photo":"https://0.academia-photos.com/49351555/12980657/14340598/s65_julie.sarama.jpg"}</script></span></span></li><li class="js-paper-rank-work_25678935 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="25678935"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 25678935, container: ".js-paper-rank-work_25678935", }); 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$(".js-view-count[data-work-id=25678935]").text(description); $(".js-view-count-work_25678935").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_25678935").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="25678935"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">14</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="9822" href="https://www.academia.edu/Documents/in/Education_Policy">Education Policy</a>, <script data-card-contents-for-ri="9822" type="text/json">{"id":9822,"name":"Education Policy","url":"https://www.academia.edu/Documents/in/Education_Policy?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=25678935]'), work: {"id":25678935,"title":"Math in the early years [ECS Research Brief: The progress of educational reform]","created_at":"2016-05-28T07:28:20.249-07:00","url":"https://www.academia.edu/25678935/Math_in_the_early_years_ECS_Research_Brief_The_progress_of_educational_reform_?f_ri=22277","dom_id":"work_25678935","summary":"new new This issue of The Progress of Education Reform reveals five surprising findings about the strong relationship between early math instruction and later student achievement. Researchers have found that early knowledge of math not only predicts later success in math, but also predicts later reading achievement even better than do early reading skills. The paper concludes with implications and recommendations for state policy that will support the development of early math competencies and young children. (Doug Clements and Julie Sarama, University of Denver, October 2013)","downloadable_attachments":[{"id":46019135,"asset_id":25678935,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":49351555,"first_name":"Julie","last_name":"Sarama","domain_name":"udenver","page_name":"JSarama","display_name":"Julie Sarama","profile_url":"https://udenver.academia.edu/JSarama?f_ri=22277","photo":"https://0.academia-photos.com/49351555/12980657/14340598/s65_julie.sarama.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":9822,"name":"Education Policy","url":"https://www.academia.edu/Documents/in/Education_Policy?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":23876,"name":"Mathematics Education at Primary Schools","url":"https://www.academia.edu/Documents/in/Mathematics_Education_at_Primary_Schools?f_ri=22277"},{"id":27801,"name":"Mathematics Teacher Education","url":"https://www.academia.edu/Documents/in/Mathematics_Teacher_Education?f_ri=22277"},{"id":30140,"name":"Early Childhood","url":"https://www.academia.edu/Documents/in/Early_Childhood?f_ri=22277"},{"id":46722,"name":"Elementary Mathematics Education","url":"https://www.academia.edu/Documents/in/Elementary_Mathematics_Education?f_ri=22277"},{"id":88382,"name":"Primary Education","url":"https://www.academia.edu/Documents/in/Primary_Education?f_ri=22277"},{"id":211728,"name":"Early Childhood Curriculum","url":"https://www.academia.edu/Documents/in/Early_Childhood_Curriculum?f_ri=22277"},{"id":303601,"name":"Social Emotional Learning","url":"https://www.academia.edu/Documents/in/Social_Emotional_Learning?f_ri=22277"},{"id":1222768,"name":"Play and Creativity in the Curriculum","url":"https://www.academia.edu/Documents/in/Play_and_Creativity_in_the_Curriculum?f_ri=22277"},{"id":1222769,"name":"Peer Groups and Their Influence Upon the Learning of Young Children","url":"https://www.academia.edu/Documents/in/Peer_Groups_and_Their_Influence_Upon_the_Learning_of_Young_Children?f_ri=22277"},{"id":1723635,"name":"Public Policy","url":"https://www.academia.edu/Documents/in/Public_Policy?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_6868684" data-work_id="6868684" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/6868684/The_uniqueness_of_the_computer_as_a_learning_tool_Insights_from_research_and_practice">The uniqueness of the computer as a learning tool: Insights from research and practice.</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/6868684" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="0243db601c88bb30be68664dfd53c6a9" rel="nofollow" data-download="{"attachment_id":33556148,"asset_id":6868684,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/33556148/download_file?st=MTczMzAzOTAwOSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H 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Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="8280" href="https://www.academia.edu/Documents/in/Media_Literacy">Media Literacy</a>, <script data-card-contents-for-ri="8280" type="text/json">{"id":8280,"name":"Media Literacy","url":"https://www.academia.edu/Documents/in/Media_Literacy?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=6868684]'), work: {"id":6868684,"title":"The uniqueness of the computer as a learning tool: Insights from research and practice.","created_at":"2014-04-25T04:07:03.553-07:00","url":"https://www.academia.edu/6868684/The_uniqueness_of_the_computer_as_a_learning_tool_Insights_from_research_and_practice?f_ri=22277","dom_id":"work_6868684","summary":null,"downloadable_attachments":[{"id":33556148,"asset_id":6868684,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics 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and to our commitment to grounding everything we have done in research. Because the work has been so heavily researched, we... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_3886355" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The “Companion” Books <br />We believe that our successes are due to the people who have contributed to our projects and to our commitment to grounding everything we have done in research. Because the work has been so heavily researched, we decided to publish two books. The first book—this one—reviews the research underlying our learning trajectories. The second book, the companion to this one, Learning and Teaching Early Math: The Learning Trajectories Approach (Clements & Sarama, 2009), describes and illustrates how these learning trajectories can be implemented in the classroom. <br />Because it is in the classroom that mathematics comes alive, we urge those most interested in this, the research review book, to read the companion book as well. The illustrations of children’s wonder, excitement, and especially thinking and problem-solving, help prevent the research reviews from giving the mis- impression that the main story of learning trajectories is children marching through a series of learning levels. Such a dreary picture is the opposite of that we are trying to paint, which is of children filled with curiosity and creative ideas, and teachers excited about helping them see the world through mathematical lenses.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/3886355" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="d3c43560efc31ebe80620503e98a30d8" rel="nofollow" data-download="{"attachment_id":57170176,"asset_id":3886355,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/57170176/download_file?st=MTczMzAzOTAwOSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_3886355 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="3886355"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 3886355, container: ".js-paper-rank-work_3886355", }); 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$(".js-view-count[data-work-id=3886355]").text(description); $(".js-view-count-work_3886355").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_3886355").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="3886355"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">10</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3429" href="https://www.academia.edu/Documents/in/Educational_Research">Educational Research</a>, <script data-card-contents-for-ri="3429" type="text/json">{"id":3429,"name":"Educational Research","url":"https://www.academia.edu/Documents/in/Educational_Research?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=3886355]'), work: {"id":3886355,"title":"Early childhood mathematics education research: Learning trajectories for young children","created_at":"2013-07-07T06:54:59.423-07:00","url":"https://www.academia.edu/3886355/Early_childhood_mathematics_education_research_Learning_trajectories_for_young_children?f_ri=22277","dom_id":"work_3886355","summary":"The “Companion” Books\r\nWe believe that our successes are due to the people who have contributed to our projects and to our commitment to grounding everything we have done in research. Because the work has been so heavily researched, we decided to publish two books. The first book—this one—reviews the research underlying our learning trajectories. The second book, the companion to this one, Learning and Teaching Early Math: The Learning Trajectories Approach (Clements \u0026 Sarama, 2009), describes and illustrates how these learning trajectories can be implemented in the classroom.\r\nBecause it is in the classroom that mathematics comes alive, we urge those most interested in this, the research review book, to read the companion book as well. The illustrations of children’s wonder, excitement, and especially thinking and problem-solving, help prevent the research reviews from giving the mis- impression that the main story of learning trajectories is children marching through a series of learning levels. Such a dreary picture is the opposite of that we are trying to paint, which is of children filled with curiosity and creative ideas, and teachers excited about helping them see the world through mathematical lenses.","downloadable_attachments":[{"id":57170176,"asset_id":3886355,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3429,"name":"Educational Research","url":"https://www.academia.edu/Documents/in/Educational_Research?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":31686,"name":"Curriculum and Instruction","url":"https://www.academia.edu/Documents/in/Curriculum_and_Instruction?f_ri=22277"},{"id":44130,"name":"Early Childhood Mathematics","url":"https://www.academia.edu/Documents/in/Early_Childhood_Mathematics?f_ri=22277"},{"id":211728,"name":"Early Childhood Curriculum","url":"https://www.academia.edu/Documents/in/Early_Childhood_Curriculum?f_ri=22277"},{"id":303601,"name":"Social Emotional Learning","url":"https://www.academia.edu/Documents/in/Social_Emotional_Learning?f_ri=22277"},{"id":1222768,"name":"Play and Creativity in the Curriculum","url":"https://www.academia.edu/Documents/in/Play_and_Creativity_in_the_Curriculum?f_ri=22277"},{"id":1222769,"name":"Peer Groups and Their Influence Upon the Learning of Young Children","url":"https://www.academia.edu/Documents/in/Peer_Groups_and_Their_Influence_Upon_the_Learning_of_Young_Children?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_74419535" data-work_id="74419535" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/74419535/Students_Errors_in_Solving_Mathematical_Word_Problems_and_Their_Ability_in_Identifying_Errors_in_Wrong_Solutions">Students’ Errors in Solving Mathematical Word Problems and Their Ability in Identifying Errors in Wrong Solutions</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Solving mathematical word problems is a difficult, complex and intellectual activity. The formation of problem solving skills is much more difficult than calculation skills because the problems are related to many concepts and a lot of... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_74419535" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Solving mathematical word problems is a difficult, complex and intellectual activity. The formation of problem solving skills is much more difficult than calculation skills because the problems are related to many concepts and a lot of mathematical relationships. Therefore, students are inevitable to commit errors to deal with them. This study shows the errors of 160 3rd grade students regarding some kinds of word problems in Mathematics 3 in Vietnam. The results indicate that children commit many errors due to many different reasons such as: subjectivity, carelessness, wrong application of the calculation rules, incorrect identification of problem kinds and wrong calculation. Article visualizations:</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/74419535" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="b3ced46aa13510458907ce94776dfc9a" rel="nofollow" data-download="{"attachment_id":82579546,"asset_id":74419535,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/82579546/download_file?st=MTczMzAzOTAwOSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="99139903" href="https://independent.academia.edu/NguyenPhuLoc000044">Nguyen Phu Loc 000044</a><script data-card-contents-for-user="99139903" type="text/json">{"id":99139903,"first_name":"Nguyen Phu Loc","last_name":"000044","domain_name":"independent","page_name":"NguyenPhuLoc000044","display_name":"Nguyen Phu Loc 000044","profile_url":"https://independent.academia.edu/NguyenPhuLoc000044?f_ri=22277","photo":"https://0.academia-photos.com/99139903/24765881/23618063/s65_nguyen_phu_loc.000044.jpg"}</script></span></span></li><li class="js-paper-rank-work_74419535 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="74419535"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 74419535, container: ".js-paper-rank-work_74419535", }); 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$(".js-view-count[data-work-id=74419535]").text(description); $(".js-view-count-work_74419535").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_74419535").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="74419535"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">20</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="922" href="https://www.academia.edu/Documents/in/Education">Education</a>, <script data-card-contents-for-ri="922" type="text/json">{"id":922,"name":"Education","url":"https://www.academia.edu/Documents/in/Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2936" href="https://www.academia.edu/Documents/in/Didactics">Didactics</a>, <script data-card-contents-for-ri="2936" type="text/json">{"id":2936,"name":"Didactics","url":"https://www.academia.edu/Documents/in/Didactics?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3429" href="https://www.academia.edu/Documents/in/Educational_Research">Educational Research</a>, <script data-card-contents-for-ri="3429" type="text/json">{"id":3429,"name":"Educational Research","url":"https://www.academia.edu/Documents/in/Educational_Research?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3457" href="https://www.academia.edu/Documents/in/Learning_and_Teaching">Learning and Teaching</a><script data-card-contents-for-ri="3457" type="text/json">{"id":3457,"name":"Learning and Teaching","url":"https://www.academia.edu/Documents/in/Learning_and_Teaching?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=74419535]'), work: {"id":74419535,"title":"Students’ Errors in Solving Mathematical Word Problems and Their Ability in Identifying Errors in Wrong Solutions","created_at":"2022-03-23T18:57:08.244-07:00","url":"https://www.academia.edu/74419535/Students_Errors_in_Solving_Mathematical_Word_Problems_and_Their_Ability_in_Identifying_Errors_in_Wrong_Solutions?f_ri=22277","dom_id":"work_74419535","summary":"Solving mathematical word problems is a difficult, complex and intellectual activity. The formation of problem solving skills is much more difficult than calculation skills because the problems are related to many concepts and a lot of mathematical relationships. Therefore, students are inevitable to commit errors to deal with them. This study shows the errors of 160 3rd grade students regarding some kinds of word problems in Mathematics 3 in Vietnam. The results indicate that children commit many errors due to many different reasons such as: subjectivity, carelessness, wrong application of the calculation rules, incorrect identification of problem kinds and wrong calculation. Article visualizations:","downloadable_attachments":[{"id":82579546,"asset_id":74419535,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":99139903,"first_name":"Nguyen Phu Loc","last_name":"000044","domain_name":"independent","page_name":"NguyenPhuLoc000044","display_name":"Nguyen Phu Loc 000044","profile_url":"https://independent.academia.edu/NguyenPhuLoc000044?f_ri=22277","photo":"https://0.academia-photos.com/99139903/24765881/23618063/s65_nguyen_phu_loc.000044.jpg"}],"research_interests":[{"id":922,"name":"Education","url":"https://www.academia.edu/Documents/in/Education?f_ri=22277","nofollow":false},{"id":2936,"name":"Didactics","url":"https://www.academia.edu/Documents/in/Didactics?f_ri=22277","nofollow":false},{"id":3429,"name":"Educational Research","url":"https://www.academia.edu/Documents/in/Educational_Research?f_ri=22277","nofollow":false},{"id":3457,"name":"Learning and Teaching","url":"https://www.academia.edu/Documents/in/Learning_and_Teaching?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277"},{"id":27771,"name":"Educational Design Research","url":"https://www.academia.edu/Documents/in/Educational_Design_Research?f_ri=22277"},{"id":51625,"name":"Educación","url":"https://www.academia.edu/Documents/in/Educaci%C3%B3n?f_ri=22277"},{"id":54727,"name":"Educational Sciences","url":"https://www.academia.edu/Documents/in/Educational_Sciences?f_ri=22277"},{"id":54819,"name":"Educational science","url":"https://www.academia.edu/Documents/in/Educational_science?f_ri=22277"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=22277"},{"id":84578,"name":"Educational","url":"https://www.academia.edu/Documents/in/Educational?f_ri=22277"},{"id":84962,"name":"Education in Vietnam","url":"https://www.academia.edu/Documents/in/Education_in_Vietnam?f_ri=22277"},{"id":93811,"name":"Educação","url":"https://www.academia.edu/Documents/in/Educa%C3%A7%C3%A3o?f_ri=22277"},{"id":130005,"name":"Educazione","url":"https://www.academia.edu/Documents/in/Educazione?f_ri=22277"},{"id":203919,"name":"Ability","url":"https://www.academia.edu/Documents/in/Ability?f_ri=22277"},{"id":403154,"name":"Errors","url":"https://www.academia.edu/Documents/in/Errors?f_ri=22277"},{"id":465931,"name":"Mathematical word problems","url":"https://www.academia.edu/Documents/in/Mathematical_word_problems?f_ri=22277"},{"id":469249,"name":"Education Studies","url":"https://www.academia.edu/Documents/in/Education_Studies?f_ri=22277"},{"id":473227,"name":"Mathematic Education","url":"https://www.academia.edu/Documents/in/Mathematic_Education?f_ri=22277"},{"id":1031715,"name":"Educacion","url":"https://www.academia.edu/Documents/in/Educacion-2?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_42480231" data-work_id="42480231" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/42480231/Pedagogika_dziecka_Podr%C4%99cznik_akademicki">Pedagogika dziecka. Podręcznik akademicki</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Współczesność to czas wymagający głębokiej refleksji nad dzieciństwem. Wymaga ona przede wszystkim podmiotowego spojrzenia na dziecko jako na Osobę wpisaną w historię, kulturę i społeczeństwo. Współczesność obliguje zatem w pewnym sensie... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_42480231" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Współczesność to czas wymagający głębokiej refleksji nad dzieciństwem. Wymaga ona przede wszystkim podmiotowego spojrzenia na dziecko jako na Osobę wpisaną w historię, kulturę i społeczeństwo. Współczesność obliguje zatem w pewnym sensie do rekonstrukcji Korczakowskich pytań o dziecko i zapytania o to, kim tak naprawdę jest dziecko, jakie są jego prawdziwe cechy, prawdziwe potrzeby, jakie kryją się w nim prawdziwe możliwości? Taka refleksja nad dzieciństwem towarzyszy od wielu lat organizowanym przez nas na Wydziale Studiów Edukacyjnych UAM w Poznaniu konferencjom z cyklu Świat małego dziecka oraz wydawanym przez Wydawnictwo Naukowe UAM pod naszą redakcją książkom o takim samym tytule. Podczas piątej edycji konferencji (odbywają się one co dwa lata od 2010 roku) i w chwili wydania piątego naukowego tomu Świata małego dziecka, podjęliśmy decyzję o wydaniu Świata małego dziecka w formie podręcznika akademickiego, który będzie wykorzystywany przez nasze środowisko zajmujące się pedagogiką dziecka, podczas zajęć dla studentów, które prowadzimy. Debaty na naszych konferencjach zawsze bowiem ukazywały, iż takiego podręcznika brakuje na polskim rynku, że nasi studenci go potrzebują i oczekują niejako od nas, że taki podręcznik dla nich stworzymy. Jesteśmy jednak w pełni świadomi, że oddawany Czytelnikom podręcznik stanowi jedynie zalążek oczekiwanego dzieła – liczymy, że będzie on systematycznie rozwijany i rozszerzany.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/42480231" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="979e54e64adfd1cb647ca9298a5a8854" rel="nofollow" data-download="{"attachment_id":62657102,"asset_id":42480231,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/62657102/download_file?st=MTczMzAzOTAwOSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="8115401" href="https://amu.academia.edu/MichalKlichowski">Michal Klichowski</a><script data-card-contents-for-user="8115401" type="text/json">{"id":8115401,"first_name":"Michal","last_name":"Klichowski","domain_name":"amu","page_name":"MichalKlichowski","display_name":"Michal Klichowski","profile_url":"https://amu.academia.edu/MichalKlichowski?f_ri=22277","photo":"https://0.academia-photos.com/8115401/2810495/39509228/s65_michal.klichowski.jpg"}</script></span></span></li><li class="js-paper-rank-work_42480231 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="42480231"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 42480231, container: ".js-paper-rank-work_42480231", }); });</script></li><li class="js-percentile-work_42480231 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 42480231; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_42480231"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_42480231 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="42480231"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 42480231; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=42480231]").text(description); $(".js-view-count-work_42480231").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_42480231").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="42480231"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">20</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="2746" href="https://www.academia.edu/Documents/in/Childrens_Literature">Children's Literature</a>, <script data-card-contents-for-ri="2746" type="text/json">{"id":2746,"name":"Children's Literature","url":"https://www.academia.edu/Documents/in/Childrens_Literature?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3454" href="https://www.academia.edu/Documents/in/Children_and_Families">Children and Families</a>, <script data-card-contents-for-ri="3454" type="text/json">{"id":3454,"name":"Children and Families","url":"https://www.academia.edu/Documents/in/Children_and_Families?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="4583" href="https://www.academia.edu/Documents/in/Child_Development">Child Development</a><script data-card-contents-for-ri="4583" type="text/json">{"id":4583,"name":"Child Development","url":"https://www.academia.edu/Documents/in/Child_Development?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=42480231]'), work: {"id":42480231,"title":"Pedagogika dziecka. Podręcznik akademicki","created_at":"2020-04-01T05:55:38.678-07:00","url":"https://www.academia.edu/42480231/Pedagogika_dziecka_Podr%C4%99cznik_akademicki?f_ri=22277","dom_id":"work_42480231","summary":"Współczesność to czas wymagający głębokiej refleksji nad dzieciństwem. Wymaga ona przede wszystkim podmiotowego spojrzenia na dziecko jako na Osobę wpisaną w historię, kulturę i społeczeństwo. Współczesność obliguje zatem w pewnym sensie do rekonstrukcji Korczakowskich pytań o dziecko i zapytania o to, kim tak naprawdę jest dziecko, jakie są jego prawdziwe cechy, prawdziwe potrzeby, jakie kryją się w nim prawdziwe możliwości? Taka refleksja nad dzieciństwem towarzyszy od wielu lat organizowanym przez nas na Wydziale Studiów Edukacyjnych UAM w Poznaniu konferencjom z cyklu Świat małego dziecka oraz wydawanym przez Wydawnictwo Naukowe UAM pod naszą redakcją książkom o takim samym tytule. Podczas piątej edycji konferencji (odbywają się one co dwa lata od 2010 roku) i w chwili wydania piątego naukowego tomu Świata małego dziecka, podjęliśmy decyzję o wydaniu Świata małego dziecka w formie podręcznika akademickiego, który będzie wykorzystywany przez nasze środowisko zajmujące się pedagogiką dziecka, podczas zajęć dla studentów, które prowadzimy. Debaty na naszych konferencjach zawsze bowiem ukazywały, iż takiego podręcznika brakuje na polskim rynku, że nasi studenci go potrzebują i oczekują niejako od nas, że taki podręcznik dla nich stworzymy. Jesteśmy jednak w pełni świadomi, że oddawany Czytelnikom podręcznik stanowi jedynie zalążek oczekiwanego dzieła – liczymy, że będzie on systematycznie rozwijany i rozszerzany. ","downloadable_attachments":[{"id":62657102,"asset_id":42480231,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":8115401,"first_name":"Michal","last_name":"Klichowski","domain_name":"amu","page_name":"MichalKlichowski","display_name":"Michal Klichowski","profile_url":"https://amu.academia.edu/MichalKlichowski?f_ri=22277","photo":"https://0.academia-photos.com/8115401/2810495/39509228/s65_michal.klichowski.jpg"}],"research_interests":[{"id":2746,"name":"Children's Literature","url":"https://www.academia.edu/Documents/in/Childrens_Literature?f_ri=22277","nofollow":false},{"id":3454,"name":"Children and Families","url":"https://www.academia.edu/Documents/in/Children_and_Families?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":4583,"name":"Child Development","url":"https://www.academia.edu/Documents/in/Child_Development?f_ri=22277","nofollow":false},{"id":9470,"name":"Early Childhood Literacy","url":"https://www.academia.edu/Documents/in/Early_Childhood_Literacy?f_ri=22277"},{"id":11851,"name":"History of Childhood","url":"https://www.academia.edu/Documents/in/History_of_Childhood?f_ri=22277"},{"id":19386,"name":"Children and Media","url":"https://www.academia.edu/Documents/in/Children_and_Media?f_ri=22277"},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277"},{"id":30140,"name":"Early Childhood","url":"https://www.academia.edu/Documents/in/Early_Childhood?f_ri=22277"},{"id":43843,"name":"Early Childhood Care and Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Care_and_Education?f_ri=22277"},{"id":46608,"name":"Children's Outdoor Education","url":"https://www.academia.edu/Documents/in/Childrens_Outdoor_Education?f_ri=22277"},{"id":54533,"name":"Children","url":"https://www.academia.edu/Documents/in/Children?f_ri=22277"},{"id":61961,"name":"Early Childhood Special Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Special_Education?f_ri=22277"},{"id":62341,"name":"Childhood studies","url":"https://www.academia.edu/Documents/in/Childhood_studies?f_ri=22277"},{"id":69641,"name":"Early childhood pedagogy","url":"https://www.academia.edu/Documents/in/Early_childhood_pedagogy?f_ri=22277"},{"id":211728,"name":"Early Childhood Curriculum","url":"https://www.academia.edu/Documents/in/Early_Childhood_Curriculum?f_ri=22277"},{"id":216818,"name":"Early Childhood Development","url":"https://www.academia.edu/Documents/in/Early_Childhood_Development?f_ri=22277"},{"id":399102,"name":"Early Childhood Teacher Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Teacher_Education?f_ri=22277"},{"id":591356,"name":"Children's Education","url":"https://www.academia.edu/Documents/in/Childrens_Education?f_ri=22277"},{"id":843099,"name":"Physical Education for Young Children","url":"https://www.academia.edu/Documents/in/Physical_Education_for_Young_Children?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_28096669" data-work_id="28096669" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/28096669/Physical_and_Virtual_Manipulatives_What_Is_Concrete_">Physical and Virtual Manipulatives: What Is " Concrete "</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">We discuss research on both physical manipulatives and virtual manipulatives to provide a framework for understanding, creating, implementing, and evaluating efficacious manipulatives—physical, virtual, and a combination of these two. We... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_28096669" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">We discuss research on both physical manipulatives and virtual manipulatives to provide a framework for understanding, creating, implementing, and evaluating efficacious manipulatives—physical, virtual, and a combination of these two. We provide a theoretical framework and a discussion of empirical evidence supporting that framework, for the use of manipulatives in learning and teaching mathematics, from early childhood through the elementary years. From this reformulation, we reconsider the role virtual manipulatives may play in helping students learn mathematics. We conclude that manipulatives are meaningful for learning only with respect to learners' activities and thinking and that both physical and virtual manipulatives can be useful. When used in comprehensive , well planned, instructional settings, both physical and virtual manipulatives can encourage students to make their knowledge explicit, which helps them build Integrated-Concrete knowledge.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/28096669" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="01cdba61e1d0d2cbb5361c17b0e2b050" rel="nofollow" data-download="{"attachment_id":48411602,"asset_id":28096669,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/48411602/download_file?st=MTczMzAzOTAwOSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_28096669 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="28096669"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 28096669, container: ".js-paper-rank-work_28096669", }); 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$(".js-view-count[data-work-id=28096669]").text(description); $(".js-view-count-work_28096669").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_28096669").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="28096669"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">5</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="1003" href="https://www.academia.edu/Documents/in/Educational_Technology">Educational Technology</a>, <script data-card-contents-for-ri="1003" type="text/json">{"id":1003,"name":"Educational Technology","url":"https://www.academia.edu/Documents/in/Educational_Technology?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="47979" href="https://www.academia.edu/Documents/in/Educational_Technologies">Educational Technologies</a><script data-card-contents-for-ri="47979" type="text/json">{"id":47979,"name":"Educational Technologies","url":"https://www.academia.edu/Documents/in/Educational_Technologies?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=28096669]'), work: {"id":28096669,"title":"Physical and Virtual Manipulatives: What Is \" Concrete \"","created_at":"2016-08-29T08:30:49.418-07:00","url":"https://www.academia.edu/28096669/Physical_and_Virtual_Manipulatives_What_Is_Concrete_?f_ri=22277","dom_id":"work_28096669","summary":"We discuss research on both physical manipulatives and virtual manipulatives to provide a framework for understanding, creating, implementing, and evaluating efficacious manipulatives—physical, virtual, and a combination of these two. We provide a theoretical framework and a discussion of empirical evidence supporting that framework, for the use of manipulatives in learning and teaching mathematics, from early childhood through the elementary years. From this reformulation, we reconsider the role virtual manipulatives may play in helping students learn mathematics. We conclude that manipulatives are meaningful for learning only with respect to learners' activities and thinking and that both physical and virtual manipulatives can be useful. When used in comprehensive , well planned, instructional settings, both physical and virtual manipulatives can encourage students to make their knowledge explicit, which helps them build Integrated-Concrete knowledge.","downloadable_attachments":[{"id":48411602,"asset_id":28096669,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":1003,"name":"Educational Technology","url":"https://www.academia.edu/Documents/in/Educational_Technology?f_ri=22277","nofollow":false},{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":47979,"name":"Educational Technologies","url":"https://www.academia.edu/Documents/in/Educational_Technologies?f_ri=22277","nofollow":false},{"id":1877339,"name":"Concrete Manipulatives Materials","url":"https://www.academia.edu/Documents/in/Concrete_Manipulatives_Materials?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_42279405" data-work_id="42279405" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/42279405/Erken_%C3%87ocukluk_D%C3%B6nemi_Fen_E%C4%9Fitiminde_STEM_Yakla%C5%9F%C4%B1m%C4%B1">Erken Çocukluk Dönemi Fen Eğitiminde STEM Yaklaşımı</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Endüstri 4.0 çağının artık yavaş yavaş gerisinde kaldığımız ve teknolojik gelişmelerin hızını takip etmekte dahi zorlandığımız günümüz dünyasında erken çocukluk eğitimi gelişmiş devletler tarafından en önemli eğitim gündemlerinden biri... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_42279405" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Endüstri 4.0 çağının artık yavaş yavaş gerisinde kaldığımız ve teknolojik gelişmelerin hızını takip etmekte dahi zorlandığımız günümüz dünyasında erken çocukluk eğitimi gelişmiş devletler tarafından en önemli eğitim gündemlerinden biri olarak görülmektedir. 36-72 aylık süreci kapsayan okul öncesi çağı, çocukların algılarının ve yaratıcılık seviyelerinin oldukça yüksek olduğu ve çocukların zekâ gelişimleri için kritik bir dönemdir. Türkiye’de son yıllarda önemli ilerlemeler kaydedilen erken çocukluk eğitiminin temel eğitim bileşenleri arasına dâhil edilmesine yönelik girişimlerin 2018 yılı itibariyle ivme kazandığı görülmektedir. Bu durumun ortaya çıkmasında, temel eğitimde yapılacak yenilik çalışmalarının öğrencileri ileriki yaşamlarına daha iyi hazırlayacağı düşüncesi, bu iyi hazırlanmanın dolaylı veya doğrudan etkilerini ülke olarak göreceğimiz felsefesi yatmaktadır. Hiç kuşkusuz bu durumda temel eğitimde meydana getirilecek reform hareketlerinin öğrencileri hayata daha hazır hale getirmesi beklenmektedir. Bu doğrultuda 21. yüzyıl becerilerini geliştirmeyi hedefleyen STEM yaklaşımı giderek ön plana çıktığı ifade edilebilir. Bununla birlikte kaliteli bir erken çocukluk eğitimi ve edinilecek olan STEM (Fen-Teknoloji-Mühendislik-Matematik) becerileri, tüm çocuklar için nitelikli bir eğitim hayatına doğru ilerlemenin etkili yoludur. Ülkemizdeki STEM yaklaşımı noktasında farklı bakış açılarının olduğu göz önüne alındığında, bunu iyi yapabilmemiz için özellikle öğretmenlerin STEM yaklaşımını erken çocukluk eğitimi programlarına nasıl uyarlayacakları, etkinlik planlarını nasıl hazırlayacakları ve etkinlikleri nasıl tasarlayacakları konusunda profesyonel eğitimlere ihtiyaçları vardır. Çocuğun aktif katılımının sağlandığı, disiplinler arası ve uygulamaya yönelik STEM yaklaşımının, erken çocukluk döneminde yer alması düşüncesi kaçınılmazdır. Bu noktada bu düşüncelere açıklık getirmesi ve konunun anlaşılması adına STEM yaklaşımı ve 21. yüzyıl becerileri arasındaki ilişki, STEM yaklaşımının amacı, STEM yaklaşımları, STEM materyalleri hakkında bilgiler verildikten sonra örnek STEM etkinlik planları ve uygulamaları noktasında detaylar verilmiştir.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/42279405" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="e9b9761b54fe26e8de433c6c001c6d8b" rel="nofollow" data-download="{"attachment_id":62432158,"asset_id":42279405,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/62432158/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="87807927" href="https://spanalumni.academia.edu/MehmetBa%C5%9Faran">Mehmet Başaran</a><script data-card-contents-for-user="87807927" type="text/json">{"id":87807927,"first_name":"Mehmet","last_name":"Başaran","domain_name":"spanalumni","page_name":"MehmetBaşaran","display_name":"Mehmet Başaran","profile_url":"https://spanalumni.academia.edu/MehmetBa%C5%9Faran?f_ri=22277","photo":"https://0.academia-photos.com/87807927/20129007/76840480/s65_dr._mehmet.ba_aran.jpg"}</script></span></span></li><li class="js-paper-rank-work_42279405 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="42279405"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 42279405, container: ".js-paper-rank-work_42279405", }); 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$(".js-view-count[data-work-id=42279405]").text(description); $(".js-view-count-work_42279405").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_42279405").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="42279405"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="28493" href="https://www.academia.edu/Documents/in/STEM_Education">STEM Education</a><script data-card-contents-for-ri="28493" type="text/json">{"id":28493,"name":"STEM Education","url":"https://www.academia.edu/Documents/in/STEM_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=42279405]'), work: {"id":42279405,"title":"Erken Çocukluk Dönemi Fen Eğitiminde STEM Yaklaşımı","created_at":"2020-03-21T07:34:38.115-07:00","url":"https://www.academia.edu/42279405/Erken_%C3%87ocukluk_D%C3%B6nemi_Fen_E%C4%9Fitiminde_STEM_Yakla%C5%9F%C4%B1m%C4%B1?f_ri=22277","dom_id":"work_42279405","summary":"Endüstri 4.0 çağının artık yavaş yavaş gerisinde kaldığımız ve teknolojik gelişmelerin hızını takip etmekte dahi zorlandığımız günümüz dünyasında erken çocukluk eğitimi gelişmiş devletler tarafından en önemli eğitim gündemlerinden biri olarak görülmektedir. 36-72 aylık süreci kapsayan okul öncesi çağı, çocukların algılarının ve yaratıcılık seviyelerinin oldukça yüksek olduğu ve çocukların zekâ gelişimleri için kritik bir dönemdir. Türkiye’de son yıllarda önemli ilerlemeler kaydedilen erken çocukluk eğitiminin temel eğitim bileşenleri arasına dâhil edilmesine yönelik girişimlerin 2018 yılı itibariyle ivme kazandığı görülmektedir. Bu durumun ortaya çıkmasında, temel eğitimde yapılacak yenilik çalışmalarının öğrencileri ileriki yaşamlarına daha iyi hazırlayacağı düşüncesi, bu iyi hazırlanmanın dolaylı veya doğrudan etkilerini ülke olarak göreceğimiz felsefesi yatmaktadır. Hiç kuşkusuz bu durumda temel eğitimde meydana getirilecek reform hareketlerinin öğrencileri hayata daha hazır hale getirmesi beklenmektedir. Bu doğrultuda 21. yüzyıl becerilerini geliştirmeyi hedefleyen STEM yaklaşımı giderek ön plana çıktığı ifade edilebilir. Bununla birlikte kaliteli bir erken çocukluk eğitimi ve edinilecek olan STEM (Fen-Teknoloji-Mühendislik-Matematik) becerileri, tüm çocuklar için nitelikli bir eğitim hayatına doğru ilerlemenin etkili yoludur. Ülkemizdeki STEM yaklaşımı noktasında farklı bakış açılarının olduğu göz önüne alındığında, bunu iyi yapabilmemiz için özellikle öğretmenlerin STEM yaklaşımını erken çocukluk eğitimi programlarına nasıl uyarlayacakları, etkinlik planlarını nasıl hazırlayacakları ve etkinlikleri nasıl tasarlayacakları konusunda profesyonel eğitimlere ihtiyaçları vardır. Çocuğun aktif katılımının sağlandığı, disiplinler arası ve uygulamaya yönelik STEM yaklaşımının, erken çocukluk döneminde yer alması düşüncesi kaçınılmazdır. Bu noktada bu düşüncelere açıklık getirmesi ve konunun anlaşılması adına STEM yaklaşımı ve 21. yüzyıl becerileri arasındaki ilişki, STEM yaklaşımının amacı, STEM yaklaşımları, STEM materyalleri hakkında bilgiler verildikten sonra örnek STEM etkinlik planları ve uygulamaları noktasında detaylar verilmiştir.","downloadable_attachments":[{"id":62432158,"asset_id":42279405,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":87807927,"first_name":"Mehmet","last_name":"Başaran","domain_name":"spanalumni","page_name":"MehmetBaşaran","display_name":"Mehmet Başaran","profile_url":"https://spanalumni.academia.edu/MehmetBa%C5%9Faran?f_ri=22277","photo":"https://0.academia-photos.com/87807927/20129007/76840480/s65_dr._mehmet.ba_aran.jpg"}],"research_interests":[{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":28493,"name":"STEM Education","url":"https://www.academia.edu/Documents/in/STEM_Education?f_ri=22277","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_38918309" data-work_id="38918309" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/38918309/Pr%C3%A1cticas_de_medida_en_Educaci%C3%B3n_Infantil_desde_la_perspectiva_de_la_Educaci%C3%B3n_Matem%C3%A1tica_Realista">Prácticas de medida en Educación Infantil desde la perspectiva de la Educación Matemática Realista</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">RESUMEN En la primera parte de este artículo se describen los principios fundamentales del proceso de enseñanza-aprendizaje de las matemáticas en las primeras edades desde la perspectiva de la Educación Matemática Realista (EMR) junto con... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_38918309" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">RESUMEN En la primera parte de este artículo se describen los principios fundamentales del proceso de enseñanza-aprendizaje de las matemáticas en las primeras edades desde la perspectiva de la Educación Matemática Realista (EMR) junto con las principales orientaciones curriculares contemporáneas en relación a la enseñanza de la medida en Educación Infantil. En la segunda parte se presentan dos experiencias de aprendizaje realista de la medida que se han llevado a cabo con 22 niños y niñas de 3º de Educación Infantil (5-6 años) del CEIP de Sigüeiro (La Coruña). La documentación recopilada muestra cómo los alumnos descubren diversos aspectos vinculados a los conocimientos de medida en situaciones reales o realistas: usan los cuantificadores de medida de longitud, comparan según la longitud, usan herramientas de medida de longitud y de masa y se introducen en el Sistema Métrico Decimal. ABSTRACT Firstly, the main ideas that support the teaching and learning of mathematics in the first ages are exposed from the perspective of Realistic Mathematics Education, and a review of the main contemporary curricular orientations in relation to the teaching of the measure in Early Childhood Education is presented. In the second part, two realistic learning experiences of the measure in Early Childhood Education are presented. The experiences, called "Chocolate bars" and "Chocolate cakes" respectively, have been carried out with 22 children from the 3rd year of Early Childhood Education (5-6 years) of the CEIP of Sigüeiro (La Coruña, Spain). The collected documentation shows how students discover in real or realistic situations various aspects related to measurement knowledge: they use quantifiers of length measurement, compare according to length, use length and mass measurement tools and progressively the Metric System Decimal.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/38918309" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="52cd6945073dda16778ccc78ead40ec2" rel="nofollow" data-download="{"attachment_id":59018179,"asset_id":38918309,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/59018179/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="542378" href="https://ugirona.academia.edu/AngelAlsina">Angel Alsina</a><script data-card-contents-for-user="542378" type="text/json">{"id":542378,"first_name":"Angel","last_name":"Alsina","domain_name":"ugirona","page_name":"AngelAlsina","display_name":"Angel Alsina","profile_url":"https://ugirona.academia.edu/AngelAlsina?f_ri=22277","photo":"https://0.academia-photos.com/542378/9879688/15244312/s65_angel.alsina.jpg"}</script></span></span></li><li class="js-paper-rank-work_38918309 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="38918309"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 38918309, container: ".js-paper-rank-work_38918309", }); 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$(".js-view-count[data-work-id=38918309]").text(description); $(".js-view-count-work_38918309").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_38918309").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="38918309"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">15</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3457" href="https://www.academia.edu/Documents/in/Learning_and_Teaching">Learning and Teaching</a>, <script data-card-contents-for-ri="3457" type="text/json">{"id":3457,"name":"Learning and Teaching","url":"https://www.academia.edu/Documents/in/Learning_and_Teaching?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="4473" href="https://www.academia.edu/Documents/in/Problem_solving_Education_">Problem solving (Education)</a><script data-card-contents-for-ri="4473" type="text/json">{"id":4473,"name":"Problem solving (Education)","url":"https://www.academia.edu/Documents/in/Problem_solving_Education_?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=38918309]'), work: {"id":38918309,"title":"Prácticas de medida en Educación Infantil desde la perspectiva de la Educación Matemática Realista","created_at":"2019-04-24T09:15:10.902-07:00","url":"https://www.academia.edu/38918309/Pr%C3%A1cticas_de_medida_en_Educaci%C3%B3n_Infantil_desde_la_perspectiva_de_la_Educaci%C3%B3n_Matem%C3%A1tica_Realista?f_ri=22277","dom_id":"work_38918309","summary":"RESUMEN En la primera parte de este artículo se describen los principios fundamentales del proceso de enseñanza-aprendizaje de las matemáticas en las primeras edades desde la perspectiva de la Educación Matemática Realista (EMR) junto con las principales orientaciones curriculares contemporáneas en relación a la enseñanza de la medida en Educación Infantil. En la segunda parte se presentan dos experiencias de aprendizaje realista de la medida que se han llevado a cabo con 22 niños y niñas de 3º de Educación Infantil (5-6 años) del CEIP de Sigüeiro (La Coruña). La documentación recopilada muestra cómo los alumnos descubren diversos aspectos vinculados a los conocimientos de medida en situaciones reales o realistas: usan los cuantificadores de medida de longitud, comparan según la longitud, usan herramientas de medida de longitud y de masa y se introducen en el Sistema Métrico Decimal. ABSTRACT Firstly, the main ideas that support the teaching and learning of mathematics in the first ages are exposed from the perspective of Realistic Mathematics Education, and a review of the main contemporary curricular orientations in relation to the teaching of the measure in Early Childhood Education is presented. In the second part, two realistic learning experiences of the measure in Early Childhood Education are presented. The experiences, called \"Chocolate bars\" and \"Chocolate cakes\" respectively, have been carried out with 22 children from the 3rd year of Early Childhood Education (5-6 years) of the CEIP of Sigüeiro (La Coruña, Spain). The collected documentation shows how students discover in real or realistic situations various aspects related to measurement knowledge: they use quantifiers of length measurement, compare according to length, use length and mass measurement tools and progressively the Metric System Decimal.","downloadable_attachments":[{"id":59018179,"asset_id":38918309,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":542378,"first_name":"Angel","last_name":"Alsina","domain_name":"ugirona","page_name":"AngelAlsina","display_name":"Angel Alsina","profile_url":"https://ugirona.academia.edu/AngelAlsina?f_ri=22277","photo":"https://0.academia-photos.com/542378/9879688/15244312/s65_angel.alsina.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3457,"name":"Learning and Teaching","url":"https://www.academia.edu/Documents/in/Learning_and_Teaching?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":4473,"name":"Problem solving (Education)","url":"https://www.academia.edu/Documents/in/Problem_solving_Education_?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277"},{"id":30140,"name":"Early Childhood","url":"https://www.academia.edu/Documents/in/Early_Childhood?f_ri=22277"},{"id":57698,"name":"Realistic Mathematics Education","url":"https://www.academia.edu/Documents/in/Realistic_Mathematics_Education?f_ri=22277"},{"id":67606,"name":"Aprendizaje","url":"https://www.academia.edu/Documents/in/Aprendizaje?f_ri=22277"},{"id":79368,"name":"Educación Infantil","url":"https://www.academia.edu/Documents/in/Educaci%C3%B3n_Infantil?f_ri=22277"},{"id":96446,"name":"Measurement","url":"https://www.academia.edu/Documents/in/Measurement?f_ri=22277"},{"id":126353,"name":"EDUCACION MATEMÁTICA","url":"https://www.academia.edu/Documents/in/EDUCACION_MATEMATICA?f_ri=22277"},{"id":126354,"name":"Didáctica de las matemáticas","url":"https://www.academia.edu/Documents/in/Did%C3%A1ctica_de_las_matem%C3%A1ticas?f_ri=22277"},{"id":196032,"name":"Infancia","url":"https://www.academia.edu/Documents/in/Infancia?f_ri=22277"},{"id":211728,"name":"Early Childhood Curriculum","url":"https://www.academia.edu/Documents/in/Early_Childhood_Curriculum?f_ri=22277"},{"id":491714,"name":"Educación Matemática Realista","url":"https://www.academia.edu/Documents/in/Educacion_Matematica_Realista?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_6270583" data-work_id="6270583" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/6270583/Play_Mathematics_and_False_Dichotomies_Preschool_Matters_Today">Play, Mathematics, and False Dichotomies | Preschool Matters... Today</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/6270583" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="e3110992789b0a8b21fba4faed227c7f" rel="nofollow" data-download="{"attachment_id":33122694,"asset_id":6270583,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/33122694/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_6270583 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="6270583"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 6270583, container: ".js-paper-rank-work_6270583", }); 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$(".js-view-count[data-work-id=6270583]").text(description); $(".js-view-count-work_6270583").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_6270583").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="6270583"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">6</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="44130" href="https://www.academia.edu/Documents/in/Early_Childhood_Mathematics">Early Childhood Mathematics</a><script data-card-contents-for-ri="44130" type="text/json">{"id":44130,"name":"Early Childhood Mathematics","url":"https://www.academia.edu/Documents/in/Early_Childhood_Mathematics?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=6270583]'), work: {"id":6270583,"title":"Play, Mathematics, and False Dichotomies | Preschool Matters... Today","created_at":"2014-03-03T02:54:35.675-08:00","url":"https://www.academia.edu/6270583/Play_Mathematics_and_False_Dichotomies_Preschool_Matters_Today?f_ri=22277","dom_id":"work_6270583","summary":null,"downloadable_attachments":[{"id":33122694,"asset_id":6270583,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":44130,"name":"Early Childhood Mathematics","url":"https://www.academia.edu/Documents/in/Early_Childhood_Mathematics?f_ri=22277","nofollow":false},{"id":264383,"name":"Math Education in Early Childhood Education with technology support and Training teachers in service","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education_with_technology_support_and_Training_teachers_in_service?f_ri=22277"},{"id":399102,"name":"Early Childhood Teacher Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Teacher_Education?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_42700195" data-work_id="42700195" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/42700195/Play_in_early_childhood_education_centres_of_India_A_review_article">Play in early childhood education centres of India: A review article</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Play is the very characteristic of early childhood years. During early childhood years, children involve in various forms of play which is imperative for the optimal development of children. Play enhances healthy brain development;... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_42700195" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Play is the very characteristic of early childhood years. During early childhood years, children involve in various forms<br />of play which is imperative for the optimal development of children. Play enhances healthy brain development;<br />strengthen emotional, social and physical skills. It provides opportunities to explore world, make relationships, enhance<br />creativity and develop early literacy skills. During these early childhood years in 2018, 66.7% of Indian children were<br />enrolled in early childhood education centres. Hence, it became significant to explore the kinds of opportunities which<br />are given to children in Indian early childhood education centres. Through the process of exclusion and inclusion<br />criteria fifteen empirical studies on “play” amongst children in India were selected. The article concludes the status of<br />play in twelve states of India. Within these twelve states availability of play opportunity, play materials and playing<br />spaces of one thousand three hundred and twenty eight early childhood education centres have been stated. Children<br />displayed various forms of play behaviours influenced by one’s age, culture and socio economics status. Centres do<br />provide opportunities for free play, supervised play, outdoor play and play to enhance early literacy skills. Playing<br />materials and spaces available varies from centre to centre.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/42700195" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="3f0a52e4a5c2669093609f57b147b6fd" rel="nofollow" data-download="{"attachment_id":62912376,"asset_id":42700195,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/62912376/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="118132309" href="https://delhi-south.academia.edu/MonicaJairam">Monica Jairam</a><script data-card-contents-for-user="118132309" type="text/json">{"id":118132309,"first_name":"Monica","last_name":"Jairam","domain_name":"delhi-south","page_name":"MonicaJairam","display_name":"Monica Jairam","profile_url":"https://delhi-south.academia.edu/MonicaJairam?f_ri=22277","photo":"https://0.academia-photos.com/118132309/107494299/96714975/s65_monica.jairam.png"}</script></span></span></li><li class="js-paper-rank-work_42700195 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="42700195"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 42700195, container: ".js-paper-rank-work_42700195", }); 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$(".js-view-count[data-work-id=42700195]").text(description); $(".js-view-count-work_42700195").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_42700195").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="42700195"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">6</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="9470" href="https://www.academia.edu/Documents/in/Early_Childhood_Literacy">Early Childhood Literacy</a>, <script data-card-contents-for-ri="9470" type="text/json">{"id":9470,"name":"Early Childhood Literacy","url":"https://www.academia.edu/Documents/in/Early_Childhood_Literacy?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="18911" href="https://www.academia.edu/Documents/in/Curriculum_Development">Curriculum Development</a>, <script data-card-contents-for-ri="18911" type="text/json">{"id":18911,"name":"Curriculum Development","url":"https://www.academia.edu/Documents/in/Curriculum_Development?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=42700195]'), work: {"id":42700195,"title":"Play in early childhood education centres of India: A review article","created_at":"2020-04-11T05:02:58.421-07:00","url":"https://www.academia.edu/42700195/Play_in_early_childhood_education_centres_of_India_A_review_article?f_ri=22277","dom_id":"work_42700195","summary":"Play is the very characteristic of early childhood years. During early childhood years, children involve in various forms\nof play which is imperative for the optimal development of children. Play enhances healthy brain development;\nstrengthen emotional, social and physical skills. It provides opportunities to explore world, make relationships, enhance\ncreativity and develop early literacy skills. During these early childhood years in 2018, 66.7% of Indian children were\nenrolled in early childhood education centres. Hence, it became significant to explore the kinds of opportunities which\nare given to children in Indian early childhood education centres. Through the process of exclusion and inclusion\ncriteria fifteen empirical studies on “play” amongst children in India were selected. The article concludes the status of\nplay in twelve states of India. Within these twelve states availability of play opportunity, play materials and playing\nspaces of one thousand three hundred and twenty eight early childhood education centres have been stated. Children\ndisplayed various forms of play behaviours influenced by one’s age, culture and socio economics status. Centres do\nprovide opportunities for free play, supervised play, outdoor play and play to enhance early literacy skills. Playing\nmaterials and spaces available varies from centre to centre.","downloadable_attachments":[{"id":62912376,"asset_id":42700195,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":118132309,"first_name":"Monica","last_name":"Jairam","domain_name":"delhi-south","page_name":"MonicaJairam","display_name":"Monica Jairam","profile_url":"https://delhi-south.academia.edu/MonicaJairam?f_ri=22277","photo":"https://0.academia-photos.com/118132309/107494299/96714975/s65_monica.jairam.png"}],"research_interests":[{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":9470,"name":"Early Childhood Literacy","url":"https://www.academia.edu/Documents/in/Early_Childhood_Literacy?f_ri=22277","nofollow":false},{"id":18911,"name":"Curriculum Development","url":"https://www.academia.edu/Documents/in/Curriculum_Development?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":30140,"name":"Early Childhood","url":"https://www.academia.edu/Documents/in/Early_Childhood?f_ri=22277"},{"id":211728,"name":"Early Childhood Curriculum","url":"https://www.academia.edu/Documents/in/Early_Childhood_Curriculum?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_39957284" data-work_id="39957284" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/39957284/Intuitive_Ideas_about_Chance_and_Probability_in_Children_from_4_to_6_Years_Old">Intuitive Ideas about Chance and Probability in Children from 4 to 6 Years Old</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">This study explores intuitive ideas about chance and probability in children aged 4 to 6. For this, we conducted an exploratory study of an instructional process with 23 pre-kindergarten and kindergarten students who had not received... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_39957284" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">This study explores intuitive ideas about chance and probability in children aged 4 to 6. For this, we conducted an exploratory study of an instructional process with 23 pre-kindergarten and kindergarten students who had not received prior instruction on the subject. The results show that students comprehensively use elementary probabilistic language and have a first informal knowledge about other notions such as sample space, possibility of occurrence, and comparison of probabilities. We conclude that most of this knowledge (basic notions of probability) depends, to a great extent, on visual support in order to compare probability or possibility of occurrence. In other words, it is confirmed that students at these early ages need to start learning the first probabilistic notions in teaching contexts that let them visualise mathematical ideas in a concrete way, using both everyday objects and manipulative materials, and direct action on these objects. In future studies, it will be necessary to continue exploring new data that contribute to the professional development of Early Childhood Education teachers, in order to refine the planning and management of mathematical practices whose purpose is the progressive acquisition of probabilistic literacy at early ages. Ideas Intuitivas sobre el Azar y la Probabilidad en Niños de 4 a 6 Años RESUMEN Este estudio explora las ideas intuitivas sobre el azar y la probabilidad en niños de 4 a 6 años. Para ello, se ha realizado un estudio exploratorio de un proceso de instrucción con 23 alumnos de pre-kindergarten y kindergarten que no han recibido instrucción previa sobre el tema. Los resultados muestran que los alumnos usan comprensivamente lenguaje probabilístico elemental y poseen un primer conocimiento informal acerca de otras nociones como por ejemplo espacio muestral, posibilidad de ocurrencia y comparación de probabilidades. Se concluye que la mayoría de estos conocimientos (nociones básicas de probabilidad) dependen, en gran medida, del apoyo</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/39957284" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="9de2e8835b687d7e52f7df62aef6854b" rel="nofollow" data-download="{"attachment_id":60145555,"asset_id":39957284,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/60145555/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="542378" href="https://ugirona.academia.edu/AngelAlsina">Angel Alsina</a><script data-card-contents-for-user="542378" type="text/json">{"id":542378,"first_name":"Angel","last_name":"Alsina","domain_name":"ugirona","page_name":"AngelAlsina","display_name":"Angel Alsina","profile_url":"https://ugirona.academia.edu/AngelAlsina?f_ri=22277","photo":"https://0.academia-photos.com/542378/9879688/15244312/s65_angel.alsina.jpg"}</script></span></span></li><li class="js-paper-rank-work_39957284 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="39957284"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 39957284, container: ".js-paper-rank-work_39957284", }); 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For this, we conducted an exploratory study of an instructional process with 23 pre-kindergarten and kindergarten students who had not received prior instruction on the subject. The results show that students comprehensively use elementary probabilistic language and have a first informal knowledge about other notions such as sample space, possibility of occurrence, and comparison of probabilities. We conclude that most of this knowledge (basic notions of probability) depends, to a great extent, on visual support in order to compare probability or possibility of occurrence. In other words, it is confirmed that students at these early ages need to start learning the first probabilistic notions in teaching contexts that let them visualise mathematical ideas in a concrete way, using both everyday objects and manipulative materials, and direct action on these objects. In future studies, it will be necessary to continue exploring new data that contribute to the professional development of Early Childhood Education teachers, in order to refine the planning and management of mathematical practices whose purpose is the progressive acquisition of probabilistic literacy at early ages. Ideas Intuitivas sobre el Azar y la Probabilidad en Niños de 4 a 6 Años RESUMEN Este estudio explora las ideas intuitivas sobre el azar y la probabilidad en niños de 4 a 6 años. Para ello, se ha realizado un estudio exploratorio de un proceso de instrucción con 23 alumnos de pre-kindergarten y kindergarten que no han recibido instrucción previa sobre el tema. Los resultados muestran que los alumnos usan comprensivamente lenguaje probabilístico elemental y poseen un primer conocimiento informal acerca de otras nociones como por ejemplo espacio muestral, posibilidad de ocurrencia y comparación de probabilidades. Se concluye que la mayoría de estos conocimientos (nociones básicas de probabilidad) dependen, en gran medida, del apoyo","downloadable_attachments":[{"id":60145555,"asset_id":39957284,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":542378,"first_name":"Angel","last_name":"Alsina","domain_name":"ugirona","page_name":"AngelAlsina","display_name":"Angel Alsina","profile_url":"https://ugirona.academia.edu/AngelAlsina?f_ri=22277","photo":"https://0.academia-photos.com/542378/9879688/15244312/s65_angel.alsina.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood 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href="https://www.academia.edu/Documents/in/Developmental_Psychology">Developmental Psychology</a>, <script data-card-contents-for-ri="252" type="text/json">{"id":252,"name":"Developmental Psychology","url":"https://www.academia.edu/Documents/in/Developmental_Psychology?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="25520" href="https://www.academia.edu/Documents/in/Language_Acquisition_and_Development">Language Acquisition and Development</a><script data-card-contents-for-ri="25520" type="text/json">{"id":25520,"name":"Language Acquisition and Development","url":"https://www.academia.edu/Documents/in/Language_Acquisition_and_Development?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=5618342]'), work: {"id":5618342,"title":"Thirty Million Words Poster","created_at":"2014-01-06T02:18:31.359-08:00","url":"https://www.academia.edu/5618342/Thirty_Million_Words_Poster?f_ri=22277","dom_id":"work_5618342","summary":null,"downloadable_attachments":[{"id":32691105,"asset_id":5618342,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":8050742,"first_name":"Elizabeth","last_name":"DuPond","domain_name":"utep","page_name":"ElizabethDuPond","display_name":"Elizabeth 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u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/31503496/Mathematics_in_Early_Childhood_Learning">Mathematics in Early Childhood Learning</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">NCTM Position Young learners’ future understanding of mathematics requires an early foundation based on a high-quality, challenging, and accessible mathematics education. Young children in every setting should experience mathematics... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_31503496" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">NCTM Position <br />Young learners’ future understanding of mathematics requires an early foundation based on a high-quality, challenging, and accessible mathematics education. Young children in every setting should experience mathematics through effective, research-based curricula and teaching practices. Such practices in turn require that teachers have the support of policies, organizational structures, and resources that enable them to succeed in this challenging and important work.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/31503496" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="ab753fd246ff99f9d20b090e96536c1c" rel="nofollow" data-download="{"attachment_id":51850342,"asset_id":31503496,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/51850342/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_31503496 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="31503496"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 31503496, container: ".js-paper-rank-work_31503496", }); 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$(".js-view-count[data-work-id=31503496]").text(description); $(".js-view-count-work_31503496").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_31503496").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="31503496"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i></div><span class="InlineList-item-text u-textTruncate u-pl6x"><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (false) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=31503496]'), work: {"id":31503496,"title":"Mathematics in Early Childhood Learning","created_at":"2017-02-18T09:01:01.090-08:00","url":"https://www.academia.edu/31503496/Mathematics_in_Early_Childhood_Learning?f_ri=22277","dom_id":"work_31503496","summary":" \nNCTM Position \nYoung learners’ future understanding of mathematics requires an early foundation based on a high-quality, challenging, and accessible mathematics education. Young children in every setting should experience mathematics through effective, research-based curricula and teaching practices. Such practices in turn require that teachers have the support of policies, organizational structures, and resources that enable them to succeed in this challenging and important work. \n","downloadable_attachments":[{"id":51850342,"asset_id":31503496,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_27461048" data-work_id="27461048" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/27461048/Acciones_matem%C3%A1ticas_de_0_a_3_a%C3%B1os_a_partir_de_instalaciones_art%C3%ADsticas">Acciones matemáticas de 0 a 3 años a partir de instalaciones artísticas</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">En este estudio se analizan las acciones matemáticas que llevan a cabo niños de 0-3 años en instalaciones artísticas, considerados espacios estéticos que fomentan la participación y les ayuda a desarrollarse. Las instalaciones artísticas... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_27461048" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">En este estudio se analizan las acciones<br />matemáticas que llevan a cabo niños de<br />0-3 años en instalaciones artísticas, considerados<br />espacios estéticos que fomentan<br />la participación y les ayuda a desarrollarse.<br />Las instalaciones artísticas se han organizado<br />en el mesoespacio, que requiere el movimiento<br />del cuerpo para poder ser analizado<br />de forma completa. Han participado 85<br />niños de uno a tres años que han llevado<br />a cabo acciones en dos instalaciones artísticas<br />diferentes. Los resultados muestran<br />que los niños de menor edad realizan un<br />número reducido de acciones matemáticas<br />(vinculadas a las cualidades sensoriales y<br />a las cantidades), pero a medida que van<br />creciendo, el número de acciones se incrementa<br />y a la vez se diversifica en relación a<br />todos los bloques de contenido (cualidades<br />sensoriales, cantidades, posiciones y formas,<br />atributos mesurables).</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/27461048" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="a2390c3635df6e37f7e97a5879273ffc" rel="nofollow" data-download="{"attachment_id":47719970,"asset_id":27461048,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/47719970/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="542378" href="https://ugirona.academia.edu/AngelAlsina">Angel Alsina</a><script data-card-contents-for-user="542378" type="text/json">{"id":542378,"first_name":"Angel","last_name":"Alsina","domain_name":"ugirona","page_name":"AngelAlsina","display_name":"Angel Alsina","profile_url":"https://ugirona.academia.edu/AngelAlsina?f_ri=22277","photo":"https://0.academia-photos.com/542378/9879688/15244312/s65_angel.alsina.jpg"}</script></span></span></li><li class="js-paper-rank-work_27461048 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="27461048"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 27461048, container: ".js-paper-rank-work_27461048", }); });</script></li><li class="js-percentile-work_27461048 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 27461048; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_27461048"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_27461048 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="27461048"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 27461048; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=27461048]").text(description); $(".js-view-count-work_27461048").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_27461048").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="27461048"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">5</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="13545" href="https://www.academia.edu/Documents/in/Teacher_Training">Teacher Training</a>, <script data-card-contents-for-ri="13545" type="text/json">{"id":13545,"name":"Teacher Training","url":"https://www.academia.edu/Documents/in/Teacher_Training?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=27461048]'), work: {"id":27461048,"title":"Acciones matemáticas de 0 a 3 años a partir de instalaciones artísticas","created_at":"2016-08-02T02:57:37.576-07:00","url":"https://www.academia.edu/27461048/Acciones_matem%C3%A1ticas_de_0_a_3_a%C3%B1os_a_partir_de_instalaciones_art%C3%ADsticas?f_ri=22277","dom_id":"work_27461048","summary":"En este estudio se analizan las acciones\nmatemáticas que llevan a cabo niños de\n0-3 años en instalaciones artísticas, considerados\nespacios estéticos que fomentan\nla participación y les ayuda a desarrollarse.\nLas instalaciones artísticas se han organizado\nen el mesoespacio, que requiere el movimiento\ndel cuerpo para poder ser analizado\nde forma completa. Han participado 85\nniños de uno a tres años que han llevado\na cabo acciones en dos instalaciones artísticas\ndiferentes. Los resultados muestran\nque los niños de menor edad realizan un\nnúmero reducido de acciones matemáticas\n(vinculadas a las cualidades sensoriales y\na las cantidades), pero a medida que van\ncreciendo, el número de acciones se incrementa\ny a la vez se diversifica en relación a\ntodos los bloques de contenido (cualidades\nsensoriales, cantidades, posiciones y formas,\natributos mesurables).","downloadable_attachments":[{"id":47719970,"asset_id":27461048,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":542378,"first_name":"Angel","last_name":"Alsina","domain_name":"ugirona","page_name":"AngelAlsina","display_name":"Angel Alsina","profile_url":"https://ugirona.academia.edu/AngelAlsina?f_ri=22277","photo":"https://0.academia-photos.com/542378/9879688/15244312/s65_angel.alsina.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":13545,"name":"Teacher Training","url":"https://www.academia.edu/Documents/in/Teacher_Training?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":27801,"name":"Mathematics Teacher Education","url":"https://www.academia.edu/Documents/in/Mathematics_Teacher_Education?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_42214214" data-work_id="42214214" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/42214214/Early_Childhood_Education_Importance_of_Play_in_Education">Early Childhood Education: Importance of Play in Education</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Play is an important part towards early childhood development. Fromberg and Gullo (1992) state that play enhances language development, social competence, creativity, imagination, and thinking skills. According to Garvey (1977) play is... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_42214214" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Play is an important part towards early childhood development. Fromberg and Gullo (1992) state that play enhances language development, social competence, creativity, imagination, and thinking skills. According to Garvey (1977) play is most common during childhood when children's knowledge of self, verbal and non-verbal communication, and understanding of the physical and social worlds dramatically expand. Play encourages things children already know and allow them to learn new things in the process. At my school, play is reduced significantly for children in the lower primary. This includes children in grade one to three, ages six to eight. Students are limited to twenty minutes of outdoor recess time daily and forty minutes physical education time weekly but are not provided meaningful play time in the classroom. This causes a substantial problem for students, teachers and parents. For this analysis I have collaborated with colleagues in my school to brainstorm solutions towards this problem and to put them into practice.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/42214214" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="d336426b9113c95378e20371e4743992" rel="nofollow" data-download="{"attachment_id":62363237,"asset_id":42214214,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/62363237/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="39312392" href="https://ace.academia.edu/ReginaSiles">Regina Siles</a><script data-card-contents-for-user="39312392" type="text/json">{"id":39312392,"first_name":"Regina","last_name":"Siles","domain_name":"ace","page_name":"ReginaSiles","display_name":"Regina Siles","profile_url":"https://ace.academia.edu/ReginaSiles?f_ri=22277","photo":"https://0.academia-photos.com/39312392/10842359/12100730/s65_regina.siles.jpg_oh_9a835ef7346228a973a71c88b9262d9f_oe_56e4177b"}</script></span></span></li><li class="js-paper-rank-work_42214214 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="42214214"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 42214214, container: ".js-paper-rank-work_42214214", }); });</script></li><li class="js-percentile-work_42214214 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 42214214; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_42214214"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_42214214 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="42214214"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 42214214; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=42214214]").text(description); $(".js-view-count-work_42214214").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_42214214").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="42214214"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">8</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22019" href="https://www.academia.edu/Documents/in/Applied_Behavior_Analysis">Applied Behavior Analysis</a>, <script data-card-contents-for-ri="22019" type="text/json">{"id":22019,"name":"Applied Behavior Analysis","url":"https://www.academia.edu/Documents/in/Applied_Behavior_Analysis?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="33214" href="https://www.academia.edu/Documents/in/Early_Years_mathematics_learning_3-11_years">Early Years mathematics learning 3-11 years</a><script data-card-contents-for-ri="33214" type="text/json">{"id":33214,"name":"Early Years mathematics learning 3-11 years","url":"https://www.academia.edu/Documents/in/Early_Years_mathematics_learning_3-11_years?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=42214214]'), work: {"id":42214214,"title":"Early Childhood Education: Importance of Play in Education","created_at":"2020-03-13T23:41:21.684-07:00","url":"https://www.academia.edu/42214214/Early_Childhood_Education_Importance_of_Play_in_Education?f_ri=22277","dom_id":"work_42214214","summary":"Play is an important part towards early childhood development. Fromberg and Gullo (1992) state that play enhances language development, social competence, creativity, imagination, and thinking skills. According to Garvey (1977) play is most common during childhood when children's knowledge of self, verbal and non-verbal communication, and understanding of the physical and social worlds dramatically expand. Play encourages things children already know and allow them to learn new things in the process. At my school, play is reduced significantly for children in the lower primary. This includes children in grade one to three, ages six to eight. Students are limited to twenty minutes of outdoor recess time daily and forty minutes physical education time weekly but are not provided meaningful play time in the classroom. This causes a substantial problem for students, teachers and parents. For this analysis I have collaborated with colleagues in my school to brainstorm solutions towards this problem and to put them into practice. ","downloadable_attachments":[{"id":62363237,"asset_id":42214214,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":39312392,"first_name":"Regina","last_name":"Siles","domain_name":"ace","page_name":"ReginaSiles","display_name":"Regina Siles","profile_url":"https://ace.academia.edu/ReginaSiles?f_ri=22277","photo":"https://0.academia-photos.com/39312392/10842359/12100730/s65_regina.siles.jpg_oh_9a835ef7346228a973a71c88b9262d9f_oe_56e4177b"}],"research_interests":[{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22019,"name":"Applied Behavior Analysis","url":"https://www.academia.edu/Documents/in/Applied_Behavior_Analysis?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":33214,"name":"Early Years mathematics learning 3-11 years","url":"https://www.academia.edu/Documents/in/Early_Years_mathematics_learning_3-11_years?f_ri=22277","nofollow":false},{"id":61961,"name":"Early Childhood Special Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Special_Education?f_ri=22277"},{"id":66853,"name":"Language Development in Early Years","url":"https://www.academia.edu/Documents/in/Language_Development_in_Early_Years?f_ri=22277"},{"id":216818,"name":"Early Childhood Development","url":"https://www.academia.edu/Documents/in/Early_Childhood_Development?f_ri=22277"},{"id":399102,"name":"Early Childhood Teacher Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Teacher_Education?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_24820300" data-work_id="24820300" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/24820300/Okul_%C3%96ncesi_D%C3%B6nem_%C3%87ocuklar%C4%B1_%C4%B0%C3%A7in_Geli%C5%9Ftirilen_Ara%C5%9Ft%C4%B1rma_Temelli_Matematik_E%C4%9Fitim_Programlar%C4%B1n%C4%B1n_%C4%B0ncelenmesi_Investigation_of_the_Research_Based_Mathematics_Programs_Developed_for_Preschool_Children">Okul Öncesi Dönem Çocukları İçin Geliştirilen Araştırma Temelli Matematik Eğitim Programlarının İncelenmesi Investigation of the Research Based Mathematics Programs Developed for Preschool Children</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">ÖZ Son yıllarda erken çocukluk döneminde matematik eğitimine yönelik ilgide bir artış gözlemlenmektedir. Verilen bu önemden hareketle nitelikli matematik eğitiminin özellikleri tartışılmakta ve çocukların matematikle ilişkili... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_24820300" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">ÖZ Son yıllarda erken çocukluk döneminde matematik eğitimine yönelik ilgide bir artış gözlemlenmektedir. Verilen bu önemden hareketle nitelikli matematik eğitiminin özellikleri tartışılmakta ve çocukların matematikle ilişkili öğrenmelerini daha etkin bir şekilde desteklemek amacıyla çeşitli matematik eğitim programları geliştirilmektedir. Bu programlar farklı dillere uyarlanmakta ve etkinliklerini değerlendirmek amacıyla deneysel çalışmalara yer verilmektedir. Bu çalışmanın amacı, okul öncesi dönem çocukları için geliştirilmiş ve araştırma temelli olan matematik eğitim programlarını incelemektir. Bu programlar; Yapı Taşları (Building Blocks), Küçük Çocuklar İçin Büyük Matematik (Big Math for Little Kids) ve Anaokulu-Anasınıfı Matematik (Pre-K Mathematics) Eğitim Programlarıdır. Bu amaca ulaşmak için anılan programların temel özellikleri ile deneysel çalışmalardan elde edilen veriler ışığında etkileri ve benzer ve farklı yönleri tartışılmıştır. Bu bağlamda, incelenen eğitim programlarının Türkiye'deki okul öncesi eğitimde kullanılabilirliklerine yönelik bazı önerilere de yer verilmiştir. Anahtar kelimeler: okul öncesi dönemde matematik, matematik eğitim programları, araştırma temelli program ABSTRACT Recently, there is an increasing attention to mathematics education in early childhood period. Moving from this attention, the caharacteristics of high quality mathematics education have been discussed, and a variety of mathematics programs have been developed for the purpose of supporting children's mathematics learning in a more effective way. These programs have been adapted to different languages, and experiemental studies have been conducted to evaluate their effectiveness. The purpose of this study is to examine research based mathematics programs that were developed for early childhood children. These programs are; the Building Blocks, Big Math for Little Kids, and Pre-K Mathematics. To reach this purpose, the main characteristics of these programs, their effectiveness based on the results of experimental studies, and similarities and differences between the programs have been discussed. In this context, suggestions for the usability of these programs in Turkish preschool education are provided.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/24820300" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="300f29d527ef48d74e78db81548606cc" rel="nofollow" data-download="{"attachment_id":45145837,"asset_id":24820300,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/45145837/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="783109" href="https://alanya.academia.edu/CeyhunErsan">Ceyhun Ersan</a><script data-card-contents-for-user="783109" type="text/json">{"id":783109,"first_name":"Ceyhun","last_name":"Ersan","domain_name":"alanya","page_name":"CeyhunErsan","display_name":"Ceyhun Ersan","profile_url":"https://alanya.academia.edu/CeyhunErsan?f_ri=22277","photo":"https://0.academia-photos.com/783109/265223/18705643/s65_ceyhun.ersan.png"}</script></span></span></li><li class="js-paper-rank-work_24820300 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="24820300"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 24820300, container: ".js-paper-rank-work_24820300", }); });</script></li><li class="js-percentile-work_24820300 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 24820300; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_24820300"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_24820300 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="24820300"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 24820300; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=24820300]").text(description); $(".js-view-count-work_24820300").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_24820300").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="24820300"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">2</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="44130" href="https://www.academia.edu/Documents/in/Early_Childhood_Mathematics">Early Childhood Mathematics</a><script data-card-contents-for-ri="44130" type="text/json">{"id":44130,"name":"Early Childhood Mathematics","url":"https://www.academia.edu/Documents/in/Early_Childhood_Mathematics?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=24820300]'), work: {"id":24820300,"title":"Okul Öncesi Dönem Çocukları İçin Geliştirilen Araştırma Temelli Matematik Eğitim Programlarının İncelenmesi Investigation of the Research Based Mathematics Programs Developed for Preschool Children","created_at":"2016-04-27T14:13:48.483-07:00","url":"https://www.academia.edu/24820300/Okul_%C3%96ncesi_D%C3%B6nem_%C3%87ocuklar%C4%B1_%C4%B0%C3%A7in_Geli%C5%9Ftirilen_Ara%C5%9Ft%C4%B1rma_Temelli_Matematik_E%C4%9Fitim_Programlar%C4%B1n%C4%B1n_%C4%B0ncelenmesi_Investigation_of_the_Research_Based_Mathematics_Programs_Developed_for_Preschool_Children?f_ri=22277","dom_id":"work_24820300","summary":"ÖZ Son yıllarda erken çocukluk döneminde matematik eğitimine yönelik ilgide bir artış gözlemlenmektedir. Verilen bu önemden hareketle nitelikli matematik eğitiminin özellikleri tartışılmakta ve çocukların matematikle ilişkili öğrenmelerini daha etkin bir şekilde desteklemek amacıyla çeşitli matematik eğitim programları geliştirilmektedir. Bu programlar farklı dillere uyarlanmakta ve etkinliklerini değerlendirmek amacıyla deneysel çalışmalara yer verilmektedir. Bu çalışmanın amacı, okul öncesi dönem çocukları için geliştirilmiş ve araştırma temelli olan matematik eğitim programlarını incelemektir. Bu programlar; Yapı Taşları (Building Blocks), Küçük Çocuklar İçin Büyük Matematik (Big Math for Little Kids) ve Anaokulu-Anasınıfı Matematik (Pre-K Mathematics) Eğitim Programlarıdır. Bu amaca ulaşmak için anılan programların temel özellikleri ile deneysel çalışmalardan elde edilen veriler ışığında etkileri ve benzer ve farklı yönleri tartışılmıştır. Bu bağlamda, incelenen eğitim programlarının Türkiye'deki okul öncesi eğitimde kullanılabilirliklerine yönelik bazı önerilere de yer verilmiştir. Anahtar kelimeler: okul öncesi dönemde matematik, matematik eğitim programları, araştırma temelli program ABSTRACT Recently, there is an increasing attention to mathematics education in early childhood period. Moving from this attention, the caharacteristics of high quality mathematics education have been discussed, and a variety of mathematics programs have been developed for the purpose of supporting children's mathematics learning in a more effective way. These programs have been adapted to different languages, and experiemental studies have been conducted to evaluate their effectiveness. The purpose of this study is to examine research based mathematics programs that were developed for early childhood children. These programs are; the Building Blocks, Big Math for Little Kids, and Pre-K Mathematics. To reach this purpose, the main characteristics of these programs, their effectiveness based on the results of experimental studies, and similarities and differences between the programs have been discussed. In this context, suggestions for the usability of these programs in Turkish preschool education are provided.","downloadable_attachments":[{"id":45145837,"asset_id":24820300,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":783109,"first_name":"Ceyhun","last_name":"Ersan","domain_name":"alanya","page_name":"CeyhunErsan","display_name":"Ceyhun Ersan","profile_url":"https://alanya.academia.edu/CeyhunErsan?f_ri=22277","photo":"https://0.academia-photos.com/783109/265223/18705643/s65_ceyhun.ersan.png"}],"research_interests":[{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":44130,"name":"Early Childhood Mathematics","url":"https://www.academia.edu/Documents/in/Early_Childhood_Mathematics?f_ri=22277","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_21625132" data-work_id="21625132" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/21625132/MATHEMATICS_IN_EARLY_CHILDHOOD">MATHEMATICS IN EARLY CHILDHOOD</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">For over a century, views of young children's mathematics have differed widely. The recent turn of the century has seen a dramatic increase in attention to the mathematics education of young children. We begin with a brief consideration... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_21625132" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">For over a century, views of young children's mathematics have differed widely. The recent turn of the century has seen a dramatic increase in attention to the mathematics education of young children. We begin with a brief consideration of the history of mathematics in early childhood and then turn to the question of what children know before entering school. The remainder of the chapter examines what children can and should learn about the five major mathematical topics: Number and arithmetic, geometry, measurement, patterning and algebraic thinking, and data and graphing.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/21625132" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="656ea492c515c014c83d419e0b65f28e" rel="nofollow" data-download="{"attachment_id":42211334,"asset_id":21625132,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/42211334/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_21625132 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="21625132"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 21625132, container: ".js-paper-rank-work_21625132", }); });</script></li><li class="js-percentile-work_21625132 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 21625132; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_21625132"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_21625132 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="21625132"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 21625132; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=21625132]").text(description); $(".js-view-count-work_21625132").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_21625132").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="21625132"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">6</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="16819" href="https://www.academia.edu/Documents/in/History_of_mathematics_education">History of mathematics education</a>, <script data-card-contents-for-ri="16819" type="text/json">{"id":16819,"name":"History of mathematics education","url":"https://www.academia.edu/Documents/in/History_of_mathematics_education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="21093" href="https://www.academia.edu/Documents/in/Education_Mathematics_">Education (Mathematics)</a><script data-card-contents-for-ri="21093" type="text/json">{"id":21093,"name":"Education (Mathematics)","url":"https://www.academia.edu/Documents/in/Education_Mathematics_?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=21625132]'), work: {"id":21625132,"title":"MATHEMATICS IN EARLY CHILDHOOD","created_at":"2016-02-06T07:34:21.470-08:00","url":"https://www.academia.edu/21625132/MATHEMATICS_IN_EARLY_CHILDHOOD?f_ri=22277","dom_id":"work_21625132","summary":"For over a century, views of young children's mathematics have differed widely. The recent turn of the century has seen a dramatic increase in attention to the mathematics education of young children. We begin with a brief consideration of the history of mathematics in early childhood and then turn to the question of what children know before entering school. The remainder of the chapter examines what children can and should learn about the five major mathematical topics: Number and arithmetic, geometry, measurement, patterning and algebraic thinking, and data and graphing.","downloadable_attachments":[{"id":42211334,"asset_id":21625132,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":16819,"name":"History of mathematics education","url":"https://www.academia.edu/Documents/in/History_of_mathematics_education?f_ri=22277","nofollow":false},{"id":21093,"name":"Education (Mathematics)","url":"https://www.academia.edu/Documents/in/Education_Mathematics_?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277"},{"id":33214,"name":"Early Years mathematics learning 3-11 years","url":"https://www.academia.edu/Documents/in/Early_Years_mathematics_learning_3-11_years?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_30463802" data-work_id="30463802" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/30463802/Professional_development_in_early_mathematics_Effects_of_an_intervention_based_on_learning_trajectories_on_teachers_practices">Professional development in early mathematics: Effects of an intervention based on learning trajectories on teachers’ practices</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">We evaluated the effects of a research-based model for scaling up educational inter-ventions on teachers’ practices in preschool mathematics. The original participants were from 106 classrooms for 4-year-olds in two distal city districts... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_30463802" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">We evaluated the effects of a research-based model for scaling up educational inter-ventions on teachers’ practices in preschool mathematics. The original participants were from 106 classrooms for 4-year-olds in two distal city districts serving low-resource communities, with 42 schools randomly assigned to one of three groups, of which the two treatment groups were the same throughout preschool (thus, there were 72 treatment classrooms). The intervention, a professional development program based on young children’s mathematical learning trajectories, had a sub-stantial positive effect on teachers’ instructional practices, some of which mediated student outcomes. Teachers also demonstrated sustained levels of fidelity as long as six years after the end of the intervention. Notable is these teachers’ encouragement and support for discussions of mathematics and their use of formative assessment. Finally, teachers taught the curriculum with increasing fidelity over the following six years without support from the project.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/30463802" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="2d861a171b41db4496651baa3e427421" rel="nofollow" data-download="{"attachment_id":50903414,"asset_id":30463802,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/50903414/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_30463802 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="30463802"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 30463802, container: ".js-paper-rank-work_30463802", }); });</script></li><li class="js-percentile-work_30463802 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 30463802; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_30463802"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_30463802 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="30463802"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 30463802; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=30463802]").text(description); $(".js-view-count-work_30463802").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_30463802").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="30463802"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="17773" href="https://www.academia.edu/Documents/in/Teachers_professional_development-1">Teachers' professional development</a>, <script data-card-contents-for-ri="17773" type="text/json">{"id":17773,"name":"Teachers' professional development","url":"https://www.academia.edu/Documents/in/Teachers_professional_development-1?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=30463802]'), work: {"id":30463802,"title":"Professional development in early mathematics: Effects of an intervention based on learning trajectories on teachers’ practices","created_at":"2016-12-15T07:56:50.725-08:00","url":"https://www.academia.edu/30463802/Professional_development_in_early_mathematics_Effects_of_an_intervention_based_on_learning_trajectories_on_teachers_practices?f_ri=22277","dom_id":"work_30463802","summary":"We evaluated the effects of a research-based model for scaling up educational inter-ventions on teachers’ practices in preschool mathematics. The original participants were from 106 classrooms for 4-year-olds in two distal city districts serving low-resource communities, with 42 schools randomly assigned to one of three groups, of which the two treatment groups were the same throughout preschool (thus, there were 72 treatment classrooms). The intervention, a professional development program based on young children’s mathematical learning trajectories, had a sub-stantial positive effect on teachers’ instructional practices, some of which mediated student outcomes. Teachers also demonstrated sustained levels of fidelity as long as six years after the end of the intervention. Notable is these teachers’ encouragement and support for discussions of mathematics and their use of formative assessment. Finally, teachers taught the curriculum with increasing fidelity over the following six years without support from the project.\n","downloadable_attachments":[{"id":50903414,"asset_id":30463802,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":17773,"name":"Teachers' professional development","url":"https://www.academia.edu/Documents/in/Teachers_professional_development-1?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_23294649 coauthored" data-work_id="23294649" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/23294649/Which_preschool_mathematics_competencies_are_most_predictive_of_fifth_grade_achievement">Which preschool mathematics competencies are most predictive of ﬁfth grade achievement?</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">In an effort to promote best practices regarding mathematics teaching and learning at the preschool level, national advisory panels and organizations have emphasized the importance of children's emergent counting and related competencies,... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_23294649" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">In an effort to promote best practices regarding mathematics teaching and learning at the preschool level, national advisory panels and organizations have emphasized the importance of children's emergent counting and related competencies, such as the ability to verbally count, maintain one-to-one correspondence, count with cardinality, subitize, and count forward or backward from a given number. However, little research has investigated whether the kind of mathematical knowledge promoted by the various standards documents actually predict later mathematics achievement. The present study uses longitudinal data from a primarily low-income and minority sample of children to examine the extent to which preschool mathematical competencies, specifically basic and advanced counting, predict fifth grade mathematics achievement. Using regression analyses, we find early numeracy abilities to be the strongest predictors of later mathematics achievement, with advanced counting competencies more predictive than basic counting competencies. Our results highlight the significance of preschool mathematics knowledge for future academic achievement.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/23294649" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="4161969caea3538f0e153b1651bb132c" rel="nofollow" data-download="{"attachment_id":43757750,"asset_id":23294649,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/43757750/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-23294649">+1</span><div class="hidden js-additional-users-23294649"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://independent.academia.edu/MaryElaineSpitler">Mary Elaine Spitler</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-23294649'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-23294649').html(); } } new HoverPopover(popoverSettings); })();</script></li><li class="js-paper-rank-work_23294649 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="23294649"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 23294649, container: ".js-paper-rank-work_23294649", }); });</script></li><li class="js-percentile-work_23294649 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 23294649; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_23294649"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_23294649 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="23294649"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 23294649; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=23294649]").text(description); $(".js-view-count-work_23294649").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_23294649").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="23294649"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">6</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="236" href="https://www.academia.edu/Documents/in/Cognitive_Psychology">Cognitive Psychology</a>, <script data-card-contents-for-ri="236" type="text/json">{"id":236,"name":"Cognitive Psychology","url":"https://www.academia.edu/Documents/in/Cognitive_Psychology?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="252" href="https://www.academia.edu/Documents/in/Developmental_Psychology">Developmental Psychology</a>, <script data-card-contents-for-ri="252" type="text/json">{"id":252,"name":"Developmental Psychology","url":"https://www.academia.edu/Documents/in/Developmental_Psychology?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a><script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=23294649]'), work: {"id":23294649,"title":"Which preschool mathematics competencies are most predictive of ﬁfth grade achievement?","created_at":"2016-03-15T13:42:41.554-07:00","url":"https://www.academia.edu/23294649/Which_preschool_mathematics_competencies_are_most_predictive_of_fifth_grade_achievement?f_ri=22277","dom_id":"work_23294649","summary":"In an effort to promote best practices regarding mathematics teaching and learning at the preschool level, national advisory panels and organizations have emphasized the importance of children's emergent counting and related competencies, such as the ability to verbally count, maintain one-to-one correspondence, count with cardinality, subitize, and count forward or backward from a given number. However, little research has investigated whether the kind of mathematical knowledge promoted by the various standards documents actually predict later mathematics achievement. The present study uses longitudinal data from a primarily low-income and minority sample of children to examine the extent to which preschool mathematical competencies, specifically basic and advanced counting, predict fifth grade mathematics achievement. Using regression analyses, we find early numeracy abilities to be the strongest predictors of later mathematics achievement, with advanced counting competencies more predictive than basic counting competencies. Our results highlight the significance of preschool mathematics knowledge for future academic achievement.","downloadable_attachments":[{"id":43757750,"asset_id":23294649,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"},{"id":45424206,"first_name":"Mary Elaine","last_name":"Spitler","domain_name":"independent","page_name":"MaryElaineSpitler","display_name":"Mary Elaine Spitler","profile_url":"https://independent.academia.edu/MaryElaineSpitler?f_ri=22277","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":236,"name":"Cognitive Psychology","url":"https://www.academia.edu/Documents/in/Cognitive_Psychology?f_ri=22277","nofollow":false},{"id":252,"name":"Developmental Psychology","url":"https://www.academia.edu/Documents/in/Developmental_Psychology?f_ri=22277","nofollow":false},{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":21093,"name":"Education (Mathematics)","url":"https://www.academia.edu/Documents/in/Education_Mathematics_?f_ri=22277"},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_19562860" data-work_id="19562860" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/19562860/Mathematics_in_the_preschool">Mathematics in the preschool</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest">General information on math in preschool. From Teaching Children Mathematics (2001), 7, 270-275.</div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/19562860" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="9eb5d9a390692044d0ea9a135b30f970" rel="nofollow" data-download="{"attachment_id":40699419,"asset_id":19562860,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/40699419/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_19562860 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="19562860"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 19562860, container: ".js-paper-rank-work_19562860", }); });</script></li><li class="js-percentile-work_19562860 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 19562860; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_19562860"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_19562860 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="19562860"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 19562860; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=19562860]").text(description); $(".js-view-count-work_19562860").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_19562860").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="19562860"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">4</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="21093" href="https://www.academia.edu/Documents/in/Education_Mathematics_">Education (Mathematics)</a>, <script data-card-contents-for-ri="21093" type="text/json">{"id":21093,"name":"Education (Mathematics)","url":"https://www.academia.edu/Documents/in/Education_Mathematics_?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=19562860]'), work: {"id":19562860,"title":"Mathematics in the preschool","created_at":"2015-12-08T10:58:24.749-08:00","url":"https://www.academia.edu/19562860/Mathematics_in_the_preschool?f_ri=22277","dom_id":"work_19562860","summary":"General information on math in preschool. From Teaching Children Mathematics (2001), 7, 270-275. ","downloadable_attachments":[{"id":40699419,"asset_id":19562860,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":21093,"name":"Education (Mathematics)","url":"https://www.academia.edu/Documents/in/Education_Mathematics_?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_19931302 coauthored" data-work_id="19931302" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/19931302/Learning_executive_function_and_early_mathematics_Directions_of_causal_relations">Learning executive function and early mathematics: Directions of causal relations</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Although there has been much recent attention to young children’s development of executive function and early mathematics, few studies have integrated the two. Here we review the evidence regarding executive function and mathematic... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_19931302" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Although there has been much recent attention to young children’s development of executive function and early mathematics, few studies have integrated the two. Here we review the evidence regarding executive function and mathematic achievement in the early years. After defining the executive function processes we consider, we briefly address the question of whether executive function can be taught in schools. We then turn to the relations between executive function and achievement. We begin with a review of the larger literature on correlations between the two, both concurrent and predictive. This leads to the fewer but more directly educationally-relevant causal studies. We conclude that developing both executive function processes and mathematical proficiencies is essential for young children and suggest that high-quality mathematics education may have the dual benefit of teaching this important content area and developing executive function processes</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/19931302" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="7ba5c7da8d75ef66b3902b7692070854" rel="nofollow" data-download="{"attachment_id":40921579,"asset_id":19931302,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/40921579/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-19931302">+1</span><div class="hidden js-additional-users-19931302"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://independent.academia.edu/CarrieGermeroth">Carrie Germeroth</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-19931302'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-19931302').html(); 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container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_19931302 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="19931302"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 19931302; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=19931302]").text(description); $(".js-view-count-work_19931302").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_19931302").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="19931302"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">8</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="11632" href="https://www.academia.edu/Documents/in/Executive_Functions_Cognitive_Neuroscience_">Executive Functions (Cognitive Neuroscience)</a>, <script data-card-contents-for-ri="11632" type="text/json">{"id":11632,"name":"Executive Functions (Cognitive Neuroscience)","url":"https://www.academia.edu/Documents/in/Executive_Functions_Cognitive_Neuroscience_?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=19931302]'), work: {"id":19931302,"title":"Learning executive function and early mathematics: Directions of causal relations","created_at":"2015-12-31T10:18:48.309-08:00","url":"https://www.academia.edu/19931302/Learning_executive_function_and_early_mathematics_Directions_of_causal_relations?f_ri=22277","dom_id":"work_19931302","summary":"Although there has been much recent attention to young children’s development of executive function and early mathematics, few studies have integrated the two. Here we review the evidence regarding executive function and mathematic achievement in the early years. After defining the executive function processes we consider, we briefly address the question of whether executive function can be taught in schools. We then turn to the relations between executive function and achievement. We begin with a review of the larger literature on correlations between the two, both concurrent and predictive. This leads to the fewer but more directly educationally-relevant causal studies. We conclude that developing both executive function processes and mathematical proficiencies is essential for young children and suggest that high-quality mathematics education may have the dual benefit of teaching this important content area and developing executive function processes","downloadable_attachments":[{"id":40921579,"asset_id":19931302,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"},{"id":41231627,"first_name":"Carrie","last_name":"Germeroth","domain_name":"independent","page_name":"CarrieGermeroth","display_name":"Carrie Germeroth","profile_url":"https://independent.academia.edu/CarrieGermeroth?f_ri=22277","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":11632,"name":"Executive Functions (Cognitive Neuroscience)","url":"https://www.academia.edu/Documents/in/Executive_Functions_Cognitive_Neuroscience_?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":26714,"name":"Self Regulation (Education)","url":"https://www.academia.edu/Documents/in/Self_Regulation_Education_?f_ri=22277"},{"id":33732,"name":"Executive Function","url":"https://www.academia.edu/Documents/in/Executive_Function?f_ri=22277"},{"id":45909,"name":"Self-regulation","url":"https://www.academia.edu/Documents/in/Self-regulation?f_ri=22277"},{"id":540916,"name":"Executive Functions, Attention and Memory Training","url":"https://www.academia.edu/Documents/in/Executive_Functions_Attention_and_Memory_Training?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_15984224" data-work_id="15984224" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/15984224/Rethinking_concrete_manipulatives">Rethinking “concrete” manipulatives</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest">Teaching Children Mathematics, 1996,  2(5), 270-279.</div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/15984224" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="fd68cdd9af2089d00208bf4fd41f961a" rel="nofollow" data-download="{"attachment_id":38843325,"asset_id":15984224,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/38843325/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_15984224 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="15984224"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 15984224, container: ".js-paper-rank-work_15984224", }); });</script></li><li class="js-percentile-work_15984224 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 15984224; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_15984224"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_15984224 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="15984224"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 15984224; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=15984224]").text(description); $(".js-view-count-work_15984224").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_15984224").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="15984224"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="1003" href="https://www.academia.edu/Documents/in/Educational_Technology">Educational Technology</a>, <script data-card-contents-for-ri="1003" type="text/json">{"id":1003,"name":"Educational Technology","url":"https://www.academia.edu/Documents/in/Educational_Technology?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=15984224]'), work: {"id":15984224,"title":"Rethinking “concrete” manipulatives","created_at":"2015-09-21T11:56:36.719-07:00","url":"https://www.academia.edu/15984224/Rethinking_concrete_manipulatives?f_ri=22277","dom_id":"work_15984224","summary":"Teaching Children Mathematics, 1996, 2(5), 270-279. \n","downloadable_attachments":[{"id":38843325,"asset_id":15984224,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":1003,"name":"Educational Technology","url":"https://www.academia.edu/Documents/in/Educational_Technology?f_ri=22277","nofollow":false},{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_9551465" data-work_id="9551465" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/9551465/Scalable_Professional_Development_in_Early_Mathematics_The_Learning_and_Teaching_with_Learning_Trajectories_Tool">Scalable Professional Development in Early Mathematics: The Learning and Teaching with Learning Trajectories Tool</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">We have been funded by the Heising-Simons Foundation and the Gates Foundation to update and expand use of our professional development tool on learning trajectories. Multiple research projects have documented the importance of early... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_9551465" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">We have been funded by the Heising-Simons Foundation and the Gates Foundation to update and expand use of our professional development tool on learning trajectories. <br /><br />Multiple research projects have documented the importance of early mathematics, the right of all young children to a high-quality mathematics education, and the need for dramatic, wide-ranging actions to support the teachers of young children in providing such education. If high-quality mathematics education does not start in preschool and continue through the early years, children can be trapped in a trajectory of failure. To help meet that need, we are substantially upgrading the technology and impact of “Building Blocks Learning Trajectories” (BBLT), a web application that constitutes a research-based teacher preparation and professional development tool for educators who teach young children mathematics.  The new tool will available on more platforms and to wider audiences.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/9551465" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="38aa80ce1f701f9fbe8fccc6ee6ecc0e" rel="nofollow" data-download="{"attachment_id":51936595,"asset_id":9551465,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/51936595/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_9551465 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="9551465"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 9551465, container: ".js-paper-rank-work_9551465", }); });</script></li><li class="js-percentile-work_9551465 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 9551465; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_9551465"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_9551465 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="9551465"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 9551465; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=9551465]").text(description); $(".js-view-count-work_9551465").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_9551465").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="9551465"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">10</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="17769" href="https://www.academia.edu/Documents/in/Professional_Development">Professional Development</a>, <script data-card-contents-for-ri="17769" type="text/json">{"id":17769,"name":"Professional Development","url":"https://www.academia.edu/Documents/in/Professional_Development?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="17773" href="https://www.academia.edu/Documents/in/Teachers_professional_development-1">Teachers' professional development</a><script data-card-contents-for-ri="17773" type="text/json">{"id":17773,"name":"Teachers' professional development","url":"https://www.academia.edu/Documents/in/Teachers_professional_development-1?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=9551465]'), work: {"id":9551465,"title":"Scalable Professional Development in Early Mathematics: The Learning and Teaching with Learning Trajectories Tool","created_at":"2014-11-29T03:24:30.099-08:00","url":"https://www.academia.edu/9551465/Scalable_Professional_Development_in_Early_Mathematics_The_Learning_and_Teaching_with_Learning_Trajectories_Tool?f_ri=22277","dom_id":"work_9551465","summary":"We have been funded by the Heising-Simons Foundation and the Gates Foundation to update and expand use of our professional development tool on learning trajectories. \n\nMultiple research projects have documented the importance of early mathematics, the right of all young children to a high-quality mathematics education, and the need for dramatic, wide-ranging actions to support the teachers of young children in providing such education. If high-quality mathematics education does not start in preschool and continue through the early years, children can be trapped in a trajectory of failure. To help meet that need, we are substantially upgrading the technology and impact of “Building Blocks Learning Trajectories” (BBLT), a web application that constitutes a research-based teacher preparation and professional development tool for educators who teach young children mathematics. The new tool will available on more platforms and to wider audiences.","downloadable_attachments":[{"id":51936595,"asset_id":9551465,"asset_type":"Work","always_allow_download":false},{"id":44257257,"asset_id":9551465,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":17769,"name":"Professional Development","url":"https://www.academia.edu/Documents/in/Professional_Development?f_ri=22277","nofollow":false},{"id":17773,"name":"Teachers' professional development","url":"https://www.academia.edu/Documents/in/Teachers_professional_development-1?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277"},{"id":44130,"name":"Early Childhood Mathematics","url":"https://www.academia.edu/Documents/in/Early_Childhood_Mathematics?f_ri=22277"},{"id":102669,"name":"Mathematics for Primary and Secondary School","url":"https://www.academia.edu/Documents/in/Mathematics_for_Primary_and_Secondary_School?f_ri=22277"},{"id":211728,"name":"Early Childhood Curriculum","url":"https://www.academia.edu/Documents/in/Early_Childhood_Curriculum?f_ri=22277"},{"id":264383,"name":"Math Education in Early Childhood Education with technology support and Training teachers in service","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education_with_technology_support_and_Training_teachers_in_service?f_ri=22277"},{"id":476160,"name":"Mathematics Teacher Competence and Performance in Primary Schools","url":"https://www.academia.edu/Documents/in/Mathematics_Teacher_Competence_and_Performance_in_Primary_Schools?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_14900028 coauthored" data-work_id="14900028" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/14900028/Background_Research_on_Early_Mathematics">Background Research on Early Mathematics</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/14900028" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="819188096774d7d4cd2da2de2ae8dd0a" rel="nofollow" data-download="{"attachment_id":38465941,"asset_id":14900028,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/38465941/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="33883798" href="https://illinois.academia.edu/ABaroody">Arthur Baroody</a><script data-card-contents-for-user="33883798" type="text/json">{"id":33883798,"first_name":"Arthur","last_name":"Baroody","domain_name":"illinois","page_name":"ABaroody","display_name":"Arthur Baroody","profile_url":"https://illinois.academia.edu/ABaroody?f_ri=22277","photo":"/images/s65_no_pic.png"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-14900028">+1</span><div class="hidden js-additional-users-14900028"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://udenver.academia.edu/JSarama">Julie Sarama</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-14900028'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-14900028').html(); } } new HoverPopover(popoverSettings); })();</script></li><li class="js-paper-rank-work_14900028 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="14900028"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 14900028, container: ".js-paper-rank-work_14900028", }); });</script></li><li class="js-percentile-work_14900028 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x 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$(".js-view-count-work_14900028").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_14900028").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="14900028"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">7</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="33214" href="https://www.academia.edu/Documents/in/Early_Years_mathematics_learning_3-11_years">Early Years mathematics learning 3-11 years</a><script data-card-contents-for-ri="33214" type="text/json">{"id":33214,"name":"Early Years mathematics learning 3-11 years","url":"https://www.academia.edu/Documents/in/Early_Years_mathematics_learning_3-11_years?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=14900028]'), work: {"id":14900028,"title":"Background Research on Early Mathematics","created_at":"2015-08-13T08:15:47.788-07:00","url":"https://www.academia.edu/14900028/Background_Research_on_Early_Mathematics?f_ri=22277","dom_id":"work_14900028","summary":null,"downloadable_attachments":[{"id":38465941,"asset_id":14900028,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":33883798,"first_name":"Arthur","last_name":"Baroody","domain_name":"illinois","page_name":"ABaroody","display_name":"Arthur Baroody","profile_url":"https://illinois.academia.edu/ABaroody?f_ri=22277","photo":"/images/s65_no_pic.png"},{"id":49351555,"first_name":"Julie","last_name":"Sarama","domain_name":"udenver","page_name":"JSarama","display_name":"Julie Sarama","profile_url":"https://udenver.academia.edu/JSarama?f_ri=22277","photo":"https://0.academia-photos.com/49351555/12980657/14340598/s65_julie.sarama.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":33214,"name":"Early Years mathematics learning 3-11 years","url":"https://www.academia.edu/Documents/in/Early_Years_mathematics_learning_3-11_years?f_ri=22277","nofollow":false},{"id":211728,"name":"Early Childhood Curriculum","url":"https://www.academia.edu/Documents/in/Early_Childhood_Curriculum?f_ri=22277"},{"id":216818,"name":"Early Childhood Development","url":"https://www.academia.edu/Documents/in/Early_Childhood_Development?f_ri=22277"},{"id":718164,"name":"Mathematics education in early childhood","url":"https://www.academia.edu/Documents/in/Mathematics_education_in_early_childhood?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_4787293" data-work_id="4787293" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/4787293/Math_in_the_Early_Years_ECS_Research_Brief_The_progress_of_educational_reform_">Math in the Early Years [ECS Research Brief: The progress of educational reform]</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">This issue of The Progress of Education Reform reveals five surprising findings about the strong relationship between early math instruction and later student achievement. Researchers have found that early knowledge of math not only... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_4787293" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">This issue of The Progress of Education Reform reveals five surprising findings about the strong relationship between early math instruction and later student achievement. Researchers have found that early knowledge of math not only predicts later success in math, but also predicts later reading achievement even better than do early reading skills. The paper concludes with implications and recommendations for state policy that will support the development of early math competencies and young children. (Doug Clements and Julie Sarama, University of Denver, October 2013)</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/4787293" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="c4219beb75e211d2f28705d1964749bf" rel="nofollow" data-download="{"attachment_id":32090531,"asset_id":4787293,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/32090531/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_4787293 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="4787293"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 4787293, container: ".js-paper-rank-work_4787293", }); 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$(".js-view-count[data-work-id=4787293]").text(description); $(".js-view-count-work_4787293").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_4787293").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="4787293"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">5</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="23876" href="https://www.academia.edu/Documents/in/Mathematics_Education_at_Primary_Schools">Mathematics Education at Primary Schools</a><script data-card-contents-for-ri="23876" type="text/json">{"id":23876,"name":"Mathematics Education at Primary Schools","url":"https://www.academia.edu/Documents/in/Mathematics_Education_at_Primary_Schools?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=4787293]'), work: {"id":4787293,"title":"Math in the Early Years [ECS Research Brief: The progress of educational reform]","created_at":"2013-10-16T03:53:29.799-07:00","url":"https://www.academia.edu/4787293/Math_in_the_Early_Years_ECS_Research_Brief_The_progress_of_educational_reform_?f_ri=22277","dom_id":"work_4787293","summary":"This issue of The Progress of Education Reform reveals five surprising findings about the strong relationship between early math instruction and later student achievement. Researchers have found that early knowledge of math not only predicts later success in math, but also predicts later reading achievement even better than do early reading skills. The paper concludes with implications and recommendations for state policy that will support the development of early math competencies and young children. (Doug Clements and Julie Sarama, University of Denver, October 2013)","downloadable_attachments":[{"id":32090531,"asset_id":4787293,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":23876,"name":"Mathematics Education at Primary Schools","url":"https://www.academia.edu/Documents/in/Mathematics_Education_at_Primary_Schools?f_ri=22277","nofollow":false},{"id":1723635,"name":"Public Policy","url":"https://www.academia.edu/Documents/in/Public_Policy?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_42980612" data-work_id="42980612" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/42980612/Early_Education_and_Development_STEM_for_Inclusive_Excellence_and_Equity">Early Education and Development STEM for Inclusive Excellence and Equity</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Research Findings: Educators declare their commitment to high-quality education for all children. Science, Technology, Engineering, and Mathematics (STEM) has been increasingly included as critical topics, even for young children.... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_42980612" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Research Findings: Educators declare their commitment to high-quality education for all children. Science, Technology, Engineering, and Mathematics (STEM) has been increasingly included as critical topics, even for young children. However, there are exceptions, especially the provision of developmentally appropriate STEM experiences to children with disabilities(CWD). In this article, we review evidence concerning this equity gap, including the importance of STEM education to CWD. We find that the early years provide an exceptional opportunity to introduce STEM, but that this potential is often left unrealized, especially for young vulnerable children, who live in poverty, are members of linguistic and ethnic minority groups, or are CWD (some with particular disabilities in STEM domains). Research also indicates the success of some educational approaches. Practice or Policy: Research and development in each of the STEM domains, as well as interdisciplinary approaches provides directions for both policy and practice. For example, both need to change to reflect importance of STEM for all young children, especially CWD, the need to change harmful beliefs, and the positive effects of approaches based on learning trajectories. We conclude with an introduction of a new center to support inclusive innovationin early education in STEM.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/42980612" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="1220ec2128ba7bc9acdc031747abc710" rel="nofollow" data-download="{"attachment_id":63240474,"asset_id":42980612,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/63240474/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_42980612 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="42980612"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 42980612, container: ".js-paper-rank-work_42980612", }); 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$(".js-view-count[data-work-id=42980612]").text(description); $(".js-view-count-work_42980612").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_42980612").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="42980612"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">7</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="1062" href="https://www.academia.edu/Documents/in/Special_Education">Special Education</a>, <script data-card-contents-for-ri="1062" type="text/json">{"id":1062,"name":"Special Education","url":"https://www.academia.edu/Documents/in/Special_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="28493" href="https://www.academia.edu/Documents/in/STEM_Education">STEM Education</a><script data-card-contents-for-ri="28493" type="text/json">{"id":28493,"name":"STEM Education","url":"https://www.academia.edu/Documents/in/STEM_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=42980612]'), work: {"id":42980612,"title":"Early Education and Development STEM for Inclusive Excellence and Equity","created_at":"2020-05-08T06:57:53.257-07:00","url":"https://www.academia.edu/42980612/Early_Education_and_Development_STEM_for_Inclusive_Excellence_and_Equity?f_ri=22277","dom_id":"work_42980612","summary":"Research Findings: Educators declare their commitment to high-quality education for all children. Science, Technology, Engineering, and Mathematics (STEM) has been increasingly included as critical topics, even for young children. However, there are exceptions, especially the provision of developmentally appropriate STEM experiences to children with disabilities(CWD). In this article, we review evidence concerning this equity gap, including the importance of STEM education to CWD. We find that the early years provide an exceptional opportunity to introduce STEM, but that this potential is often left unrealized, especially for young vulnerable children, who live in poverty, are members of linguistic and ethnic minority groups, or are CWD (some with particular disabilities in STEM domains). Research also indicates the success of some educational approaches. Practice or Policy: Research and development in each of the STEM domains, as well as interdisciplinary approaches provides directions for both policy and practice. For example, both need to change to reflect importance of STEM for all young children, especially CWD, the need to change harmful beliefs, and the positive effects of approaches based on learning trajectories. We conclude with an introduction of a new center to support inclusive innovationin early education in STEM.","downloadable_attachments":[{"id":63240474,"asset_id":42980612,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":1062,"name":"Special Education","url":"https://www.academia.edu/Documents/in/Special_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":28493,"name":"STEM Education","url":"https://www.academia.edu/Documents/in/STEM_Education?f_ri=22277","nofollow":false},{"id":43843,"name":"Early Childhood Care and Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Care_and_Education?f_ri=22277"},{"id":130330,"name":"Special Education Needs and Inclusive Practice","url":"https://www.academia.edu/Documents/in/Special_Education_Needs_and_Inclusive_Practice?f_ri=22277"},{"id":399102,"name":"Early Childhood Teacher Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Teacher_Education?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_34444364 coauthored" data-work_id="34444364" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/34444364/Coaching_in_Early_Mathematics">Coaching in Early Mathematics</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">(I posted but am not an author--Douglas H. Clements.) Falling scores in math have prompted a renewed interest in math instruction at early ages. By their own admission, early childhood educators are generally underprepared and not... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_34444364" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">(I posted but am not an author--Douglas H. Clements.) <br /> <br />Falling scores in math have prompted a renewed interest in math instruction at early ages. By their own admission, early childhood educators are generally underprepared and not always comfortable teaching math. Professional development (PD) in early mathematics is widely considered a main way to increase teachers’ skills and efficacy (e.g., Guskey, 2000; Hyson & Woods, 2014; Munby, Russell, & Martin, 2001; Piasta, Logan, Pelatti, Capps, & Petrill, 2015; Richardson & Placier, 2001; Sarama, Clements, Wolfe, & Spitler, 2016; Sarama & DiBiase, 2004; Zaslow, 2014). However, it has been documented that standalone PD is not as effective in changing practice (e.g., Biancarosa & Bryk, 2011; Garet et al., 2008; Guskey, 2000; Hyson & Woods, 2014; Institute of Medicine and National Research Council, 2015; Joyce & Showers, 2002; Zaslow, 2014). Site-embedded ongoing support in the form of coaching ormentoring has been shown to be critical for successful implementation (Neuman & Cunningham, 2009; Powell, Diamond, Burchinal, & Koehler, 2010). In this chapter, we describe coaching models and abstract characteristics of effective coaching from the research. With this background, we provide an in-depth view of the coaching aspect of two large empirical studies in early Falling scores in math have prompted a renewed interest in math instruction at early ages. By their own admission, early childhood educators are generally underprepared and not always comfortable teaching math. Professional development (PD) in early mathematics. We introduce the theoretical framework from which the coaching models for these projects were developed and describe the research on which they were based. We then summarize how the planned models were instantiated and challenges to their implementation within each project. In the final section, we summarize what we have learned and described implications and challenges for the field.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/34444364" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="3d73919d6d566fb57b9c1df557cf974b" rel="nofollow" data-download="{"attachment_id":54318698,"asset_id":34444364,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/54318698/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-34444364">+1</span><div class="hidden js-additional-users-34444364"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://udenver.academia.edu/JSarama">Julie Sarama</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-34444364'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-34444364').html(); } } new HoverPopover(popoverSettings); })();</script></li><li class="js-paper-rank-work_34444364 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="34444364"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 34444364, container: ".js-paper-rank-work_34444364", }); });</script></li><li class="js-percentile-work_34444364 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 34444364; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_34444364"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_34444364 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="34444364"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 34444364; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=34444364]").text(description); $(".js-view-count-work_34444364").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_34444364").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="34444364"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=34444364]'), work: {"id":34444364,"title":"Coaching in Early Mathematics","created_at":"2017-09-02T07:49:19.027-07:00","url":"https://www.academia.edu/34444364/Coaching_in_Early_Mathematics?f_ri=22277","dom_id":"work_34444364","summary":"(I posted but am not an author--Douglas H. Clements.)\r\n\r\nFalling scores in math have prompted a renewed interest in math instruction at early ages. By their own admission, early childhood educators are generally underprepared and not always comfortable teaching math. Professional development (PD) in early mathematics is widely considered a main way to increase teachers’ skills and efficacy (e.g., Guskey, 2000; Hyson \u0026 Woods, 2014; Munby, Russell, \u0026 Martin, 2001; Piasta, Logan, Pelatti, Capps, \u0026 Petrill, 2015; Richardson \u0026 Placier, 2001; Sarama, Clements, Wolfe, \u0026 Spitler, 2016; Sarama \u0026 DiBiase, 2004; Zaslow, 2014). However, it has been documented that standalone PD is not as effective in changing practice (e.g., Biancarosa \u0026 Bryk, 2011; Garet et al., 2008; Guskey, 2000; Hyson \u0026 Woods, 2014; Institute of Medicine and National Research Council, 2015; Joyce \u0026 Showers, 2002; Zaslow, 2014). Site-embedded ongoing support in the form of coaching ormentoring has been shown to be critical for successful implementation (Neuman \u0026 Cunningham, 2009; Powell, Diamond, Burchinal, \u0026 Koehler, 2010). In this chapter, we describe coaching models and abstract characteristics of effective coaching from the research. With this background, we provide an in-depth view of the coaching aspect of two large empirical studies in early Falling scores in math have prompted a renewed interest in math instruction at early ages. By their own admission, early childhood educators are generally underprepared and not always comfortable teaching math. Professional development (PD) in early mathematics. We introduce the theoretical framework from which the coaching models for these projects were developed and describe the research on which they were based. We then summarize how the planned models were instantiated and challenges to their implementation within each project. In the final section, we summarize what we have learned and described implications and challenges for the field.","downloadable_attachments":[{"id":54318698,"asset_id":34444364,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"},{"id":49351555,"first_name":"Julie","last_name":"Sarama","domain_name":"udenver","page_name":"JSarama","display_name":"Julie Sarama","profile_url":"https://udenver.academia.edu/JSarama?f_ri=22277","photo":"https://0.academia-photos.com/49351555/12980657/14340598/s65_julie.sarama.jpg"}],"research_interests":[{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_33339802 coauthored" data-work_id="33339802" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/33339802/Interdisciplinary_Teaching_across_Multiple_Domains_The_C4L_Connect4Learning_Curriculum">Interdisciplinary Teaching across Multiple Domains The C4L (Connect4Learning) Curriculum</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest">Authors are:<br /><br />Julie Sarama<br />University of Denver<br />Kimberly Brenneman<br />Heising-Simons Foundation<br />Douglas H. Clements<br />University of Denver<br />Nell K. Duke<br />University of Michigan<br />Mary Louise Hemmeter<br />Vanderbilt University</div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/33339802" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="cb1a503d48bd6ccb79e7c729bf72f735" rel="nofollow" data-download="{"attachment_id":56375315,"asset_id":33339802,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/56375315/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-33339802">+1</span><div class="hidden js-additional-users-33339802"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://independent.academia.edu/NellKDuke">Nell K. Duke</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-33339802'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-33339802').html(); } } new HoverPopover(popoverSettings); })();</script></li><li class="js-paper-rank-work_33339802 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="33339802"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 33339802, container: ".js-paper-rank-work_33339802", }); });</script></li><li class="js-percentile-work_33339802 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 33339802; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_33339802"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_33339802 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="33339802"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 33339802; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=33339802]").text(description); $(".js-view-count-work_33339802").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_33339802").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="33339802"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">8</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="1736" href="https://www.academia.edu/Documents/in/Science_Education">Science Education</a>, <script data-card-contents-for-ri="1736" type="text/json">{"id":1736,"name":"Science Education","url":"https://www.academia.edu/Documents/in/Science_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=33339802]'), work: {"id":33339802,"title":"Interdisciplinary Teaching across Multiple Domains The C4L (Connect4Learning) Curriculum","created_at":"2017-06-05T15:23:10.679-07:00","url":"https://www.academia.edu/33339802/Interdisciplinary_Teaching_across_Multiple_Domains_The_C4L_Connect4Learning_Curriculum?f_ri=22277","dom_id":"work_33339802","summary":"Authors are:\n\nJulie Sarama\nUniversity of Denver\nKimberly Brenneman\nHeising-Simons Foundation\nDouglas H. Clements\nUniversity of Denver\nNell K. Duke\nUniversity of Michigan\nMary Louise Hemmeter\nVanderbilt University\n","downloadable_attachments":[{"id":56375315,"asset_id":33339802,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"},{"id":62024645,"first_name":"Nell K.","last_name":"Duke","domain_name":"independent","page_name":"NellKDuke","display_name":"Nell K. Duke","profile_url":"https://independent.academia.edu/NellKDuke?f_ri=22277","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":1736,"name":"Science Education","url":"https://www.academia.edu/Documents/in/Science_Education?f_ri=22277","nofollow":false},{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":28493,"name":"STEM Education","url":"https://www.academia.edu/Documents/in/STEM_Education?f_ri=22277"},{"id":43843,"name":"Early Childhood Care and Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Care_and_Education?f_ri=22277"},{"id":127017,"name":"Early Chilhood Education","url":"https://www.academia.edu/Documents/in/Early_Chilhood_Education?f_ri=22277"},{"id":303601,"name":"Social Emotional Learning","url":"https://www.academia.edu/Documents/in/Social_Emotional_Learning?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_7953226" data-work_id="7953226" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/7953226/EXECUTIVE_FUNCTION_DEVELOPMENT_AND_EARLY_MATHEMATICS_EXAMINATION_OF_DUAL_LANGUAGE_LEARNERS">EXECUTIVE FUNCTION DEVELOPMENT AND EARLY MATHEMATICS: EXAMINATION OF DUAL LANGUAGE LEARNERS </a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/7953226" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="f1d4ce2857737e1d926a95cd12e8bae7" rel="nofollow" data-download="{"attachment_id":34427199,"asset_id":7953226,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/34427199/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="12576765" href="https://alaska.academia.edu/HattieShelton">Hattie Harvey</a><script data-card-contents-for-user="12576765" type="text/json">{"id":12576765,"first_name":"Hattie","last_name":"Harvey","domain_name":"alaska","page_name":"HattieShelton","display_name":"Hattie Harvey","profile_url":"https://alaska.academia.edu/HattieShelton?f_ri=22277","photo":"https://0.academia-photos.com/12576765/4086113/46712028/s65_hattie.harvey.jpg"}</script></span></span></li><li class="js-paper-rank-work_7953226 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="7953226"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 7953226, container: ".js-paper-rank-work_7953226", }); 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La... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_37318737" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">El objetivo de este artículo es mostrar una actividad STEAM en Educación Infantil en la que, a través del arte, se trabajan conocimientos matemáticos y científicos con el objeto de fomentar, entre otras, la competencia matemática. La actividad, denominada Land Art Math, se ha llevado a cabo con 85 niños y niñas de 3 a 6 años y sus respectivas maestras, y ha contemplado 7 fases de trabajo: 1) selección de los materiales naturales; 2) organización de los materiales, clasificándolos; 3) análisis de las características de los materiales: colores, formas, tamaños, pesos, etc.; 4) interacción, negociación y diálogo con los alumnos para diseñar el Land Art Math; 5) creación de la composición, generando diálogo para que se fijen en las formas, posiciones, etc.; 6) representación en el papel; y 7) puesta en común final, reforzando el vocabulario matemático. Palabras clave: educación matemática infantil, interdisciplinariedad, STEAM, procesos matemáticos, prácticas matemáticas, competencia matemática. ABSTRACT The aim of this article is to show a STEAM activity in Early Childhood Education in which, through art, mathematical and scientific knowledge is used in order to promote, among others, mathematical competence. The activity, called Land Art Math, was carried out with 85 children aged 3 to 6 years and their respective teachers, and has contemplated 7 work phases: 1) selection of natural materials; 2) organization of materials, classifying them; 3) analysis of the characteristics of the materials: colors, shapes, sizes, weights, etc.; 4) interaction, negotiation and dialogue with the students to design the Land Art Math; 5) creation of the composition, generating dialogue so that they are fixed in the forms, positions, etc.; 6) representation on paper; and 7) final commonality, reinforcing the mathematical vocabulary.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/37318737" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="e65a6662a3be42f4944e07c736de0880" rel="nofollow" data-download="{"attachment_id":57275675,"asset_id":37318737,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/57275675/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="542378" href="https://ugirona.academia.edu/AngelAlsina">Angel Alsina</a><script data-card-contents-for-user="542378" type="text/json">{"id":542378,"first_name":"Angel","last_name":"Alsina","domain_name":"ugirona","page_name":"AngelAlsina","display_name":"Angel Alsina","profile_url":"https://ugirona.academia.edu/AngelAlsina?f_ri=22277","photo":"https://0.academia-photos.com/542378/9879688/15244312/s65_angel.alsina.jpg"}</script></span></span></li><li class="js-paper-rank-work_37318737 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="37318737"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 37318737, container: ".js-paper-rank-work_37318737", }); 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$(".js-view-count[data-work-id=37318737]").text(description); $(".js-view-count-work_37318737").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_37318737").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="37318737"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">11</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="28493" href="https://www.academia.edu/Documents/in/STEM_Education">STEM Education</a><script data-card-contents-for-ri="28493" type="text/json">{"id":28493,"name":"STEM Education","url":"https://www.academia.edu/Documents/in/STEM_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=37318737]'), work: {"id":37318737,"title":"Land Art Math: una actividad STEAM para fomentar la competencia matemática en Educación Infantil","created_at":"2018-08-30T16:58:53.447-07:00","url":"https://www.academia.edu/37318737/Land_Art_Math_una_actividad_STEAM_para_fomentar_la_competencia_matem%C3%A1tica_en_Educaci%C3%B3n_Infantil?f_ri=22277","dom_id":"work_37318737","summary":"El objetivo de este artículo es mostrar una actividad STEAM en Educación Infantil en la que, a través del arte, se trabajan conocimientos matemáticos y científicos con el objeto de fomentar, entre otras, la competencia matemática. La actividad, denominada Land Art Math, se ha llevado a cabo con 85 niños y niñas de 3 a 6 años y sus respectivas maestras, y ha contemplado 7 fases de trabajo: 1) selección de los materiales naturales; 2) organización de los materiales, clasificándolos; 3) análisis de las características de los materiales: colores, formas, tamaños, pesos, etc.; 4) interacción, negociación y diálogo con los alumnos para diseñar el Land Art Math; 5) creación de la composición, generando diálogo para que se fijen en las formas, posiciones, etc.; 6) representación en el papel; y 7) puesta en común final, reforzando el vocabulario matemático. Palabras clave: educación matemática infantil, interdisciplinariedad, STEAM, procesos matemáticos, prácticas matemáticas, competencia matemática. ABSTRACT The aim of this article is to show a STEAM activity in Early Childhood Education in which, through art, mathematical and scientific knowledge is used in order to promote, among others, mathematical competence. The activity, called Land Art Math, was carried out with 85 children aged 3 to 6 years and their respective teachers, and has contemplated 7 work phases: 1) selection of natural materials; 2) organization of materials, classifying them; 3) analysis of the characteristics of the materials: colors, shapes, sizes, weights, etc.; 4) interaction, negotiation and dialogue with the students to design the Land Art Math; 5) creation of the composition, generating dialogue so that they are fixed in the forms, positions, etc.; 6) representation on paper; and 7) final commonality, reinforcing the mathematical vocabulary.","downloadable_attachments":[{"id":57275675,"asset_id":37318737,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":542378,"first_name":"Angel","last_name":"Alsina","domain_name":"ugirona","page_name":"AngelAlsina","display_name":"Angel 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data-download="{"attachment_id":46977361,"asset_id":26695516,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/46977361/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-26695516">+1</span><div class="hidden js-additional-users-26695516"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://independent.academia.edu/McClureElisabeth">Elisabeth McClure</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-26695516'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-26695516').html(); } } new 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Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a><script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=26695516]'), work: {"id":26695516,"title":"Fostering STEM trajectories: Background \u0026 Tools for 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Technology","url":"https://www.academia.edu/Documents/in/Educational_Technology?f_ri=22277","nofollow":false},{"id":1736,"name":"Science Education","url":"https://www.academia.edu/Documents/in/Science_Education?f_ri=22277","nofollow":false},{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277"},{"id":28493,"name":"STEM Education","url":"https://www.academia.edu/Documents/in/STEM_Education?f_ri=22277"},{"id":44130,"name":"Early Childhood Mathematics","url":"https://www.academia.edu/Documents/in/Early_Childhood_Mathematics?f_ri=22277"},{"id":1000909,"name":"Early Childhood and Science Museum Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_and_Science_Museum_Education?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_34444363" data-work_id="34444363" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/34444363/The_DREME_Network_Research_and_Interventions_in_Early_Childhood_Mathematics">The DREME Network: Research and Interventions in Early Childhood Mathematics</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The DREME Network was created to advance the field of early mathematics research and improve the opportunities to develop math competencies offered to children birth through age eight years, with an emphasis on the preschool years. All... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_34444363" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The DREME Network was created to advance the field of early mathematics research and improve the opportunities to develop math competencies offered to children birth through age eight years, with an emphasis on the preschool years. All four main Network projects will have implications for interventions. The first section of this chapter introduces the Network and its four projects. The remainder of the chapter focuses on the Making More of Math project in depth. The project is directly developing an intervention for children, based on selecting high-quality instructional activities culled from the burgeoning curriculum resources available in the early childhood field. We first report a review of 457 activities from six research-based curricula, which describes the number of activities by content focus, type (nature), and setting of activity. Given the interest in higher-order thinking skills and self-regulation, we then identified activities that had the potential to develop both mathematics and executive function proficiencies. We rated these, selecting the top 10 for extensive coding by mathematics content and executive function processes addressed. We find a wide divergence across curricula in all these categories and provide comprehensive reports for those interested in selecting, using, or developing early mathematics curricula.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/34444363" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="e8fc68d3f20ff494b8369b6a283bfa25" rel="nofollow" data-download="{"attachment_id":54318693,"asset_id":34444363,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/54318693/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_34444363 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="34444363"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 34444363, container: ".js-paper-rank-work_34444363", }); 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$(".js-view-count[data-work-id=34444363]").text(description); $(".js-view-count-work_34444363").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_34444363").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="34444363"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">5</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="400" href="https://www.academia.edu/Documents/in/Earth_Sciences">Earth Sciences</a>, <script data-card-contents-for-ri="400" type="text/json">{"id":400,"name":"Earth Sciences","url":"https://www.academia.edu/Documents/in/Earth_Sciences?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=34444363]'), work: {"id":34444363,"title":"The DREME Network: Research and Interventions in Early Childhood Mathematics","created_at":"2017-09-02T07:49:19.020-07:00","url":"https://www.academia.edu/34444363/The_DREME_Network_Research_and_Interventions_in_Early_Childhood_Mathematics?f_ri=22277","dom_id":"work_34444363","summary":"The DREME Network was created to advance the field of early mathematics research and improve the opportunities to develop math competencies offered to children birth through age eight years, with an emphasis on the preschool years. All four main Network projects will have implications for interventions. The first section of this chapter introduces the Network and its four projects. The remainder of the chapter focuses on the Making More of Math project in depth. The project is directly developing an intervention for children, based on selecting high-quality instructional activities culled from the burgeoning curriculum resources available in the early childhood field. We first report a review of 457 activities from six research-based curricula, which describes the number of activities by content focus, type (nature), and setting of activity. Given the interest in higher-order thinking skills and self-regulation, we then identified activities that had the potential to develop both mathematics and executive function proficiencies. We rated these, selecting the top 10 for extensive coding by mathematics content and executive function processes addressed. We find a wide divergence across curricula in all these categories and provide comprehensive reports for those interested in selecting, using, or developing early mathematics curricula.\n","downloadable_attachments":[{"id":54318693,"asset_id":34444363,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":400,"name":"Earth Sciences","url":"https://www.academia.edu/Documents/in/Earth_Sciences?f_ri=22277","nofollow":false},{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":30140,"name":"Early Childhood","url":"https://www.academia.edu/Documents/in/Early_Childhood?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_33702002 coauthored" data-work_id="33702002" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/33702002/Introducci%C3%B3n_al_%C3%A1lgebra_en_educaci%C3%B3n_infantil_un_itinerario_did%C3%A1ctico_para_la_ense%C3%B1anza_de_los_patrones">Introducción al álgebra en educación infantil: un itinerario didáctico para la enseñanza de los patrones.</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Resumen En este artículo se presenta un itinerario didáctico para la enseñanza de los patrones en Educación Infantil. En primer lugar se argumenta la incorporación de estos conocimientos algebraicos en el currículo por su relevante papel... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_33702002" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Resumen En este artículo se presenta un itinerario didáctico para la enseñanza de los patrones en Educación Infantil. En primer lugar se argumenta la incorporación de estos conocimientos algebraicos en el currículo por su relevante papel en el desarrollo de la inteligencia de los alumnos; en segundo lugar se exponen los principales contenidos, que se refieren al reconocimiento y a la generación de patrones de repetición y de crecimiento; en tercer lugar se presenta un itinerario didáctico que considera diferentes contextos de enseñanza: situaciones de vida cotidiana, materiales manipulativos, juegos, recursos populares (cuentos y canciones) y recursos digitales. Finalmente, con base en este itinerario, se presentan algunas propuestas implementadas en aulas de Educación Infantil para trabajar los patrones. Palabras clave: álgebra, patrones, itinerario didáctico, contextos de enseñanza, educación infantil. Abstract In this article a didactic itinerary for teaching patterns in Early Childhood Education is presented. First the incorporation of this algebraic knowledge in the curriculum is argued, for its important role in the development of intelligence; secondly, are specified the main contents about patterns: recognition and generation of repeating patterns and growth patterns; thirdly, a didactic itinerary which considers different teaching contexts is presented: everyday life situations, manipulatives, games, popular resources (stories and songs) and digital resources. Finally, some proposals to work patterns in these different contexts are shown.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/33702002" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="b57c96e1b84fb261ed77756d41ab1803" rel="nofollow" data-download="{"attachment_id":53702263,"asset_id":33702002,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/53702263/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="542378" href="https://ugirona.academia.edu/AngelAlsina">Angel Alsina</a><script data-card-contents-for-user="542378" type="text/json">{"id":542378,"first_name":"Angel","last_name":"Alsina","domain_name":"ugirona","page_name":"AngelAlsina","display_name":"Angel Alsina","profile_url":"https://ugirona.academia.edu/AngelAlsina?f_ri=22277","photo":"https://0.academia-photos.com/542378/9879688/15244312/s65_angel.alsina.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-33702002">+1</span><div class="hidden js-additional-users-33702002"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://independent.academia.edu/IoneGiralt">Ione Giralt</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-33702002'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-33702002').html(); } } new HoverPopover(popoverSettings); })();</script></li><li class="js-paper-rank-work_33702002 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="33702002"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 33702002, container: ".js-paper-rank-work_33702002", }); });</script></li><li class="js-percentile-work_33702002 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 33702002; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_33702002"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_33702002 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="33702002"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 33702002; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=33702002]").text(description); $(".js-view-count-work_33702002").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_33702002").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="33702002"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">9</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="329" href="https://www.academia.edu/Documents/in/Algebra">Algebra</a>, <script data-card-contents-for-ri="329" type="text/json">{"id":329,"name":"Algebra","url":"https://www.academia.edu/Documents/in/Algebra?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=33702002]'), work: {"id":33702002,"title":"Introducción al álgebra en educación infantil: un itinerario didáctico para la enseñanza de los patrones.","created_at":"2017-06-29T07:21:23.784-07:00","url":"https://www.academia.edu/33702002/Introducci%C3%B3n_al_%C3%A1lgebra_en_educaci%C3%B3n_infantil_un_itinerario_did%C3%A1ctico_para_la_ense%C3%B1anza_de_los_patrones?f_ri=22277","dom_id":"work_33702002","summary":"Resumen En este artículo se presenta un itinerario didáctico para la enseñanza de los patrones en Educación Infantil. En primer lugar se argumenta la incorporación de estos conocimientos algebraicos en el currículo por su relevante papel en el desarrollo de la inteligencia de los alumnos; en segundo lugar se exponen los principales contenidos, que se refieren al reconocimiento y a la generación de patrones de repetición y de crecimiento; en tercer lugar se presenta un itinerario didáctico que considera diferentes contextos de enseñanza: situaciones de vida cotidiana, materiales manipulativos, juegos, recursos populares (cuentos y canciones) y recursos digitales. Finalmente, con base en este itinerario, se presentan algunas propuestas implementadas en aulas de Educación Infantil para trabajar los patrones. Palabras clave: álgebra, patrones, itinerario didáctico, contextos de enseñanza, educación infantil. Abstract In this article a didactic itinerary for teaching patterns in Early Childhood Education is presented. First the incorporation of this algebraic knowledge in the curriculum is argued, for its important role in the development of intelligence; secondly, are specified the main contents about patterns: recognition and generation of repeating patterns and growth patterns; thirdly, a didactic itinerary which considers different teaching contexts is presented: everyday life situations, manipulatives, games, popular resources (stories and songs) and digital resources. Finally, some proposals to work patterns in these different contexts are shown.","downloadable_attachments":[{"id":53702263,"asset_id":33702002,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":542378,"first_name":"Angel","last_name":"Alsina","domain_name":"ugirona","page_name":"AngelAlsina","display_name":"Angel Alsina","profile_url":"https://ugirona.academia.edu/AngelAlsina?f_ri=22277","photo":"https://0.academia-photos.com/542378/9879688/15244312/s65_angel.alsina.jpg"},{"id":66191713,"first_name":"Ione","last_name":"Giralt","domain_name":"independent","page_name":"IoneGiralt","display_name":"Ione Giralt","profile_url":"https://independent.academia.edu/IoneGiralt?f_ri=22277","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":329,"name":"Algebra","url":"https://www.academia.edu/Documents/in/Algebra?f_ri=22277","nofollow":false},{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":65139,"name":"Patterns","url":"https://www.academia.edu/Documents/in/Patterns?f_ri=22277"},{"id":79368,"name":"Educación Infantil","url":"https://www.academia.edu/Documents/in/Educaci%C3%B3n_Infantil?f_ri=22277"},{"id":102668,"name":"Algebra Learning","url":"https://www.academia.edu/Documents/in/Algebra_Learning?f_ri=22277"},{"id":126353,"name":"EDUCACION MATEMÁTICA","url":"https://www.academia.edu/Documents/in/EDUCACION_MATEMATICA?f_ri=22277"},{"id":313518,"name":"Activity patterns","url":"https://www.academia.edu/Documents/in/Activity_patterns?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_37463402" data-work_id="37463402" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/37463402/Considerations_for_STEM_Education_from_PreK_through_Grade_3">Considerations for STEM Education from PreK through Grade 3</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">This brief draws on research and development supported by the National Science Foundation to highlight important considerations about STEM educational experiences for young children and professional learning for educators who provide... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_37463402" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">This brief draws on research and development supported by the National Science Foundation to highlight important considerations about STEM educational experiences for young children and professional learning for educators who provide those experiences.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/37463402" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="7bf1aacb43f470e55b3d205375f62ea3" rel="nofollow" data-download="{"attachment_id":57431687,"asset_id":37463402,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/57431687/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_37463402 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="37463402"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 37463402, container: ".js-paper-rank-work_37463402", }); });</script></li><li class="js-percentile-work_37463402 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 37463402; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_37463402"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_37463402 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="37463402"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 37463402; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=37463402]").text(description); $(".js-view-count-work_37463402").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_37463402").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="37463402"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">4</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="1736" href="https://www.academia.edu/Documents/in/Science_Education">Science Education</a>, <script data-card-contents-for-ri="1736" type="text/json">{"id":1736,"name":"Science Education","url":"https://www.academia.edu/Documents/in/Science_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="28493" href="https://www.academia.edu/Documents/in/STEM_Education">STEM Education</a><script data-card-contents-for-ri="28493" type="text/json">{"id":28493,"name":"STEM Education","url":"https://www.academia.edu/Documents/in/STEM_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=37463402]'), work: {"id":37463402,"title":"Considerations for STEM Education from PreK through Grade 3","created_at":"2018-09-23T06:21:37.698-07:00","url":"https://www.academia.edu/37463402/Considerations_for_STEM_Education_from_PreK_through_Grade_3?f_ri=22277","dom_id":"work_37463402","summary":"This brief draws on research and development supported by the National Science Foundation to highlight important considerations about STEM educational experiences for young children and professional learning for educators who provide those experiences.","downloadable_attachments":[{"id":57431687,"asset_id":37463402,"asset_type":"Work","always_allow_download":false},{"id":57431703,"asset_id":37463402,"asset_type":"Work","always_allow_download":false},{"id":57431704,"asset_id":37463402,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":1736,"name":"Science Education","url":"https://www.academia.edu/Documents/in/Science_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":28493,"name":"STEM Education","url":"https://www.academia.edu/Documents/in/STEM_Education?f_ri=22277","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_43486508" data-work_id="43486508" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/43486508/El_Enfoque_de_los_Itinerarios_de_Ense%C3%B1anza_de_las_Matem%C3%A1ticas_por_qu%C3%A9_para_qu%C3%A9_y_c%C3%B3mo_aplicarlo_en_el_aula">El Enfoque de los Itinerarios de Enseñanza de las Matemáticas: ¿por qué?, ¿para qué? y ¿cómo aplicarlo en el aula?</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Resumen: Se describe el Enfoque de los Itinerarios de Enseñanza de las Matemáticas (EIEM), que plantea la enseñanza a partir de secuencias intencionadas que consideran contextos informales (situaciones de vida cotidiana, materiales... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_43486508" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Resumen: Se describe el Enfoque de los Itinerarios de Enseñanza de las Matemáticas (EIEM), que plantea la enseñanza a partir de secuencias intencionadas que consideran contextos informales (situaciones de vida cotidiana, materiales manipulativos y juegos), contextos intermedios (recursos literarios y tecnológicos) y contextos formales (recursos gráficos), y se ofrecen cinco recomendaciones para aplicar el EIEM en el aula: 1) planificar y gestionar la enseñanza de los contenidos a través de los procesos matemáticos; 2) promover prácticas de enseñanza que consideren tanto al alumnado como al profesorado; 3) considerar contextos informales, intermedios y formales en todas las secuencias, con distinto protagonismo según el nivel escolar; 4) garantizar el principio de abstracción progresiva, desde lo concreto hacia lo abstracto; y 5) disponer de criterios objetivos para la selección de los contextos de enseñanza de las matemáticas. <br />Palabras clave: Enfoque de los Itinerarios de Enseñanza de las Matemáticas. Enseñanza de las matemáticas. Aprendizaje de las matemáticas. Práctica docente. Desarrollo profesional del profesorado de matemáticas.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/43486508" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="5b76e06c8c8207f7e8ca25057ef7e64b" rel="nofollow" data-download="{"attachment_id":63795346,"asset_id":43486508,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/63795346/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="542378" href="https://ugirona.academia.edu/AngelAlsina">Angel Alsina</a><script data-card-contents-for-user="542378" type="text/json">{"id":542378,"first_name":"Angel","last_name":"Alsina","domain_name":"ugirona","page_name":"AngelAlsina","display_name":"Angel Alsina","profile_url":"https://ugirona.academia.edu/AngelAlsina?f_ri=22277","photo":"https://0.academia-photos.com/542378/9879688/15244312/s65_angel.alsina.jpg"}</script></span></span></li><li class="js-paper-rank-work_43486508 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="43486508"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 43486508, container: ".js-paper-rank-work_43486508", }); });</script></li><li class="js-percentile-work_43486508 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 43486508; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_43486508"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_43486508 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="43486508"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 43486508; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=43486508]").text(description); $(".js-view-count-work_43486508").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_43486508").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="43486508"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">17</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="1601" href="https://www.academia.edu/Documents/in/Teacher_Education">Teacher Education</a>, <script data-card-contents-for-ri="1601" type="text/json">{"id":1601,"name":"Teacher Education","url":"https://www.academia.edu/Documents/in/Teacher_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3457" href="https://www.academia.edu/Documents/in/Learning_and_Teaching">Learning and Teaching</a>, <script data-card-contents-for-ri="3457" type="text/json">{"id":3457,"name":"Learning and Teaching","url":"https://www.academia.edu/Documents/in/Learning_and_Teaching?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a><script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=43486508]'), work: {"id":43486508,"title":"El Enfoque de los Itinerarios de Enseñanza de las Matemáticas: ¿por qué?, ¿para qué? y ¿cómo aplicarlo en el aula?","created_at":"2020-07-01T01:06:11.539-07:00","url":"https://www.academia.edu/43486508/El_Enfoque_de_los_Itinerarios_de_Ense%C3%B1anza_de_las_Matem%C3%A1ticas_por_qu%C3%A9_para_qu%C3%A9_y_c%C3%B3mo_aplicarlo_en_el_aula?f_ri=22277","dom_id":"work_43486508","summary":"Resumen: Se describe el Enfoque de los Itinerarios de Enseñanza de las Matemáticas (EIEM), que plantea la enseñanza a partir de secuencias intencionadas que consideran contextos informales (situaciones de vida cotidiana, materiales manipulativos y juegos), contextos intermedios (recursos literarios y tecnológicos) y contextos formales (recursos gráficos), y se ofrecen cinco recomendaciones para aplicar el EIEM en el aula: 1) planificar y gestionar la enseñanza de los contenidos a través de los procesos matemáticos; 2) promover prácticas de enseñanza que consideren tanto al alumnado como al profesorado; 3) considerar contextos informales, intermedios y formales en todas las secuencias, con distinto protagonismo según el nivel escolar; 4) garantizar el principio de abstracción progresiva, desde lo concreto hacia lo abstracto; y 5) disponer de criterios objetivos para la selección de los contextos de enseñanza de las matemáticas. \nPalabras clave: Enfoque de los Itinerarios de Enseñanza de las Matemáticas. Enseñanza de las matemáticas. Aprendizaje de las matemáticas. Práctica docente. Desarrollo profesional del profesorado de matemáticas.","downloadable_attachments":[{"id":63795346,"asset_id":43486508,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":542378,"first_name":"Angel","last_name":"Alsina","domain_name":"ugirona","page_name":"AngelAlsina","display_name":"Angel Alsina","profile_url":"https://ugirona.academia.edu/AngelAlsina?f_ri=22277","photo":"https://0.academia-photos.com/542378/9879688/15244312/s65_angel.alsina.jpg"}],"research_interests":[{"id":1601,"name":"Teacher Education","url":"https://www.academia.edu/Documents/in/Teacher_Education?f_ri=22277","nofollow":false},{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3457,"name":"Learning and Teaching","url":"https://www.academia.edu/Documents/in/Learning_and_Teaching?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":17773,"name":"Teachers' professional development","url":"https://www.academia.edu/Documents/in/Teachers_professional_development-1?f_ri=22277"},{"id":20216,"name":"Context Based Learning","url":"https://www.academia.edu/Documents/in/Context_Based_Learning?f_ri=22277"},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277"},{"id":57305,"name":"Teaching Mathematics","url":"https://www.academia.edu/Documents/in/Teaching_Mathematics?f_ri=22277"},{"id":72555,"name":"Didáctica de las matemáticas en Educación Básica","url":"https://www.academia.edu/Documents/in/Didactica_de_las_matematicas_en_Educacion_Basica?f_ri=22277"},{"id":79368,"name":"Educación Infantil","url":"https://www.academia.edu/Documents/in/Educaci%C3%B3n_Infantil?f_ri=22277"},{"id":88382,"name":"Primary Education","url":"https://www.academia.edu/Documents/in/Primary_Education?f_ri=22277"},{"id":96413,"name":"Desarrollo profesional docente","url":"https://www.academia.edu/Documents/in/Desarrollo_profesional_docente?f_ri=22277"},{"id":126353,"name":"EDUCACION MATEMÁTICA","url":"https://www.academia.edu/Documents/in/EDUCACION_MATEMATICA?f_ri=22277"},{"id":126354,"name":"Didáctica de las matemáticas","url":"https://www.academia.edu/Documents/in/Did%C3%A1ctica_de_las_matem%C3%A1ticas?f_ri=22277"},{"id":421723,"name":"Contextualization","url":"https://www.academia.edu/Documents/in/Contextualization?f_ri=22277"},{"id":512092,"name":"Teaching and Learning Mathematics","url":"https://www.academia.edu/Documents/in/Teaching_and_Learning_Mathematics?f_ri=22277"},{"id":955887,"name":"Enseñanza De Las Matemáticas","url":"https://www.academia.edu/Documents/in/Ense%C3%B1anza_De_Las_Matem%C3%A1ticas?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_32337585" data-work_id="32337585" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/32337585/The_research_based_balance_in_early_childhood_mathematics_A_response_to_Common_Core_criticisms">The research-based balance in early childhood mathematics: A response to Common Core criticisms</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">A B S T R A C T We address common criticisms of the Common Core State Standards—Mathematics, evaluating them based on comprehensive reviews of existing documentation and research to better ground future debates and to ameliorate negative... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_32337585" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">A B S T R A C T We address common criticisms of the Common Core State Standards—Mathematics, evaluating them based on comprehensive reviews of existing documentation and research to better ground future debates and to ameliorate negative effects of possible misconceptions or misinterpretations. The four main criticisms follow. (1) No one who helped develop the standards had any expertise in the education of young children. (2.) The CCSSM dictates scripted curricula and didactic instruction rigidly applied to all children at the same pace. (3.) The standards emphasize academic skills and leave no time for play, exploratory approaches, or social-emotional development. (4.) The standards are too early and therefore developmentally inappropriate for children in the early grades. We conclude that these criticisms are not valid, and that, given the importance of mathematics to academic success in all subjects, all children need and deserve to build a robust knowledge of mathematics in their earliest years and can do so if we use the research knowledge and research-based standards and programs presently available. We summarize and exemplify the research-based balanced approach to teaching based on learning trajectories that can provide guidance for engaging and developmentally appropriate mathematical experiences that have been demonstrated to help all children learn to high standards.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/32337585" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="4faf656da682c469b3ee0db400d62cd5" rel="nofollow" data-download="{"attachment_id":52546952,"asset_id":32337585,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/52546952/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_32337585 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="32337585"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 32337585, container: ".js-paper-rank-work_32337585", }); });</script></li><li class="js-percentile-work_32337585 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 32337585; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_32337585"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_32337585 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="32337585"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 32337585; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=32337585]").text(description); $(".js-view-count-work_32337585").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_32337585").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="32337585"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">9</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="922" href="https://www.academia.edu/Documents/in/Education">Education</a>, <script data-card-contents-for-ri="922" type="text/json">{"id":922,"name":"Education","url":"https://www.academia.edu/Documents/in/Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=32337585]'), work: {"id":32337585,"title":"The research-based balance in early childhood mathematics: A response to Common Core criticisms","created_at":"2017-04-08T10:09:39.417-07:00","url":"https://www.academia.edu/32337585/The_research_based_balance_in_early_childhood_mathematics_A_response_to_Common_Core_criticisms?f_ri=22277","dom_id":"work_32337585","summary":"A B S T R A C T We address common criticisms of the Common Core State Standards—Mathematics, evaluating them based on comprehensive reviews of existing documentation and research to better ground future debates and to ameliorate negative effects of possible misconceptions or misinterpretations. The four main criticisms follow. (1) No one who helped develop the standards had any expertise in the education of young children. (2.) The CCSSM dictates scripted curricula and didactic instruction rigidly applied to all children at the same pace. (3.) The standards emphasize academic skills and leave no time for play, exploratory approaches, or social-emotional development. (4.) The standards are too early and therefore developmentally inappropriate for children in the early grades. We conclude that these criticisms are not valid, and that, given the importance of mathematics to academic success in all subjects, all children need and deserve to build a robust knowledge of mathematics in their earliest years and can do so if we use the research knowledge and research-based standards and programs presently available. We summarize and exemplify the research-based balanced approach to teaching based on learning trajectories that can provide guidance for engaging and developmentally appropriate mathematical experiences that have been demonstrated to help all children learn to high standards.","downloadable_attachments":[{"id":52546952,"asset_id":32337585,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":922,"name":"Education","url":"https://www.academia.edu/Documents/in/Education?f_ri=22277","nofollow":false},{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":30140,"name":"Early Childhood","url":"https://www.academia.edu/Documents/in/Early_Childhood?f_ri=22277"},{"id":43843,"name":"Early Childhood Care and Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Care_and_Education?f_ri=22277"},{"id":211728,"name":"Early Childhood Curriculum","url":"https://www.academia.edu/Documents/in/Early_Childhood_Curriculum?f_ri=22277"},{"id":216818,"name":"Early Childhood Development","url":"https://www.academia.edu/Documents/in/Early_Childhood_Development?f_ri=22277"},{"id":389842,"name":"Educational Standards","url":"https://www.academia.edu/Documents/in/Educational_Standards?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_61889515" data-work_id="61889515" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/61889515/Creating_an_Outdoor_Loose_Parts_Classroom_One_Preschool_s_Quest_for_Boundless_STEM">Creating an Outdoor Loose Parts Classroom: One Preschool’s Quest for Boundless STEM</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Our undertaking designing a loose parts classroom mirrored many of the experiences our preschoolers encountered in their loose parts play. As children created, collaborated, and invented, they practiced divergent thinking—the generation... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_61889515" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Our undertaking designing a loose parts classroom mirrored many<br />of the experiences our preschoolers encountered in their loose<br />parts play. As children created, collaborated, and invented, they<br />practiced divergent thinking—the generation of new ideas. Loose<br />parts play was a new idea for our school and offered opportunities<br />for creating, collaborating, and inventing our loose parts<br />space and routines. In this article, we share our experiences using<br />loose parts to support children’s STEM concepts through play.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/61889515" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="71234ebd81c4b315da0038bc61997b2b" rel="nofollow" data-download="{"attachment_id":74808513,"asset_id":61889515,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/74808513/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="16676334" href="https://uh.academia.edu/CarrieCutler">Carrie Cutler</a><script data-card-contents-for-user="16676334" type="text/json">{"id":16676334,"first_name":"Carrie","last_name":"Cutler","domain_name":"uh","page_name":"CarrieCutler","display_name":"Carrie Cutler","profile_url":"https://uh.academia.edu/CarrieCutler?f_ri=22277","photo":"https://0.academia-photos.com/16676334/4554414/18484135/s65_carrie.cutler.jpg"}</script></span></span></li><li class="js-paper-rank-work_61889515 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="61889515"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 61889515, container: ".js-paper-rank-work_61889515", }); 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$(".js-view-count[data-work-id=61889515]").text(description); $(".js-view-count-work_61889515").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_61889515").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="61889515"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">9</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="1750" href="https://www.academia.edu/Documents/in/Assessment">Assessment</a>, <script data-card-contents-for-ri="1750" type="text/json">{"id":1750,"name":"Assessment","url":"https://www.academia.edu/Documents/in/Assessment?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2023" href="https://www.academia.edu/Documents/in/Engineering_Education">Engineering Education</a>, <script data-card-contents-for-ri="2023" type="text/json">{"id":2023,"name":"Engineering Education","url":"https://www.academia.edu/Documents/in/Engineering_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3457" href="https://www.academia.edu/Documents/in/Learning_and_Teaching">Learning and Teaching</a>, <script data-card-contents-for-ri="3457" type="text/json">{"id":3457,"name":"Learning and Teaching","url":"https://www.academia.edu/Documents/in/Learning_and_Teaching?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a><script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=61889515]'), work: {"id":61889515,"title":"Creating an Outdoor Loose Parts Classroom: One Preschool’s Quest for Boundless STEM","created_at":"2021-11-17T16:08:42.077-08:00","url":"https://www.academia.edu/61889515/Creating_an_Outdoor_Loose_Parts_Classroom_One_Preschool_s_Quest_for_Boundless_STEM?f_ri=22277","dom_id":"work_61889515","summary":"Our undertaking designing a loose parts classroom mirrored many\nof the experiences our preschoolers encountered in their loose\nparts play. As children created, collaborated, and invented, they\npracticed divergent thinking—the generation of new ideas. Loose\nparts play was a new idea for our school and offered opportunities\nfor creating, collaborating, and inventing our loose parts\nspace and routines. In this article, we share our experiences using\nloose parts to support children’s STEM concepts through play.","downloadable_attachments":[{"id":74808513,"asset_id":61889515,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":16676334,"first_name":"Carrie","last_name":"Cutler","domain_name":"uh","page_name":"CarrieCutler","display_name":"Carrie Cutler","profile_url":"https://uh.academia.edu/CarrieCutler?f_ri=22277","photo":"https://0.academia-photos.com/16676334/4554414/18484135/s65_carrie.cutler.jpg"}],"research_interests":[{"id":1750,"name":"Assessment","url":"https://www.academia.edu/Documents/in/Assessment?f_ri=22277","nofollow":false},{"id":2023,"name":"Engineering Education","url":"https://www.academia.edu/Documents/in/Engineering_Education?f_ri=22277","nofollow":false},{"id":3457,"name":"Learning and Teaching","url":"https://www.academia.edu/Documents/in/Learning_and_Teaching?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":12066,"name":"Outdoor Education","url":"https://www.academia.edu/Documents/in/Outdoor_Education?f_ri=22277"},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277"},{"id":28493,"name":"STEM Education","url":"https://www.academia.edu/Documents/in/STEM_Education?f_ri=22277"},{"id":909083,"name":"Science Educaton","url":"https://www.academia.edu/Documents/in/Science_Educaton?f_ri=22277"},{"id":980774,"name":"Developmentally Appropriate Practices","url":"https://www.academia.edu/Documents/in/Developmentally_Appropriate_Practices?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_26575945 coauthored" data-work_id="26575945" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/26575945/Improving_Mathematics_Learning_of_Kindergarten_Students_Through_Computer_Assisted_Instruction">Improving Mathematics Learning of Kindergarten Students Through Computer-Assisted Instruction</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">This study evaluated the effects of a mathematics software program, the Building Blocks software suite, on young children's mathematics performance. Participants included 247 Kindergartners from 37 classrooms in 9 schools located in... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_26575945" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">This study evaluated the effects of a mathematics software program, the Building Blocks software suite, on young children's mathematics performance. Participants included 247 Kindergartners from 37 classrooms in 9 schools located in low-income communities. Children within classrooms were randomly assigned to receive 21 weeks of computer-assisted instruction (CAI) in mathematics with Building Blocks or in literacy with Earobics Step 1. Children in the Building Blocks condition evidenced higher posttest scores on tests of numeracy and Applied Problems after controlling for beginning-of-year numeracy scores and classroom nesting. These findings, together with a review of earlier CAI, provide guidance for future work on CAI aiming to improve mathematics performance of children from low-income backgrounds .</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/26575945" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="7d3003b992792628230028ebbb290951" rel="nofollow" data-download="{"attachment_id":46868164,"asset_id":26575945,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/46868164/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-26575945">+1</span><div class="hidden js-additional-users-26575945"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://tmc.academia.edu/JasonAnthony">Jason Anthony</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-26575945'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-26575945').html(); 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container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_26575945 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="26575945"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 26575945; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=26575945]").text(description); $(".js-view-count-work_26575945").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_26575945").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="26575945"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">5</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="1003" href="https://www.academia.edu/Documents/in/Educational_Technology">Educational Technology</a>, <script data-card-contents-for-ri="1003" type="text/json">{"id":1003,"name":"Educational Technology","url":"https://www.academia.edu/Documents/in/Educational_Technology?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a>, <script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="44130" href="https://www.academia.edu/Documents/in/Early_Childhood_Mathematics">Early Childhood Mathematics</a><script data-card-contents-for-ri="44130" type="text/json">{"id":44130,"name":"Early Childhood Mathematics","url":"https://www.academia.edu/Documents/in/Early_Childhood_Mathematics?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=26575945]'), work: {"id":26575945,"title":"Improving Mathematics Learning of Kindergarten Students Through Computer-Assisted Instruction","created_at":"2016-06-28T14:59:44.239-07:00","url":"https://www.academia.edu/26575945/Improving_Mathematics_Learning_of_Kindergarten_Students_Through_Computer_Assisted_Instruction?f_ri=22277","dom_id":"work_26575945","summary":"This study evaluated the effects of a mathematics software program, the Building Blocks software suite, on young children's mathematics performance. Participants included 247 Kindergartners from 37 classrooms in 9 schools located in low-income communities. Children within classrooms were randomly assigned to receive 21 weeks of computer-assisted instruction (CAI) in mathematics with Building Blocks or in literacy with Earobics Step 1. Children in the Building Blocks condition evidenced higher posttest scores on tests of numeracy and Applied Problems after controlling for beginning-of-year numeracy scores and classroom nesting. These findings, together with a review of earlier CAI, provide guidance for future work on CAI aiming to improve mathematics performance of children from low-income backgrounds .","downloadable_attachments":[{"id":46868164,"asset_id":26575945,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"},{"id":32958848,"first_name":"Jason","last_name":"Anthony","domain_name":"tmc","page_name":"JasonAnthony","display_name":"Jason Anthony","profile_url":"https://tmc.academia.edu/JasonAnthony?f_ri=22277","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":1003,"name":"Educational Technology","url":"https://www.academia.edu/Documents/in/Educational_Technology?f_ri=22277","nofollow":false},{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":44130,"name":"Early Childhood Mathematics","url":"https://www.academia.edu/Documents/in/Early_Childhood_Mathematics?f_ri=22277","nofollow":false},{"id":93975,"name":"Computer Assisted Instruction","url":"https://www.academia.edu/Documents/in/Computer_Assisted_Instruction?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_817613" data-work_id="817613" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/817613/Big_Math_for_Little_Kids_Workshops_Background_and_Content">Big Math for Little Kids Workshops: Background and Content</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/817613" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="bc99a3a8615a260bd61f57964f958eff" rel="nofollow" data-download="{"attachment_id":4893720,"asset_id":817613,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/4893720/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="654481" href="https://independent.academia.edu/MelissaMorgenlander">Melissa Morgenlander</a><script data-card-contents-for-user="654481" type="text/json">{"id":654481,"first_name":"Melissa","last_name":"Morgenlander","domain_name":"independent","page_name":"MelissaMorgenlander","display_name":"Melissa Morgenlander","profile_url":"https://independent.academia.edu/MelissaMorgenlander?f_ri=22277","photo":"https://gravatar.com/avatar/ff3044b1430182b8f84a9f64da8648d8?s=65"}</script></span></span></li><li class="js-paper-rank-work_817613 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="817613"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 817613, container: ".js-paper-rank-work_817613", }); 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H., Greenfield, D. B., Landry, S. H., & Sarama, J. (2015). Assessment using technology— Formative assessment with young children. In O. N. Saracho (Ed.), Contemporary perspectives on research in assessment and evaluation in... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_20797898" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Clements, D. H., Greenfield, D. B., Landry, S. H., & Sarama, J. (2015). Assessment using technology— Formative assessment with young children. In O. N. Saracho (Ed.), Contemporary perspectives on research in assessment and evaluation in early childhood education (pp. 339-371). Charlotte, NC: Information Age Publishing.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/20797898" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="8ea37098f2f63fe3ef8b23fef41113e1" rel="nofollow" data-download="{"attachment_id":41567644,"asset_id":20797898,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/41567644/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_20797898 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="20797898"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 20797898, container: ".js-paper-rank-work_20797898", }); 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H., Greenfield, D. B., Landry, S. H., \u0026 Sarama, J. (2015). Assessment using technology— Formative assessment with young children. In O. N. Saracho (Ed.), Contemporary perspectives on research in assessment and evaluation in early childhood education (pp. 339-371). Charlotte, NC: Information Age Publishing.\n","downloadable_attachments":[{"id":41567644,"asset_id":20797898,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}],"research_interests":[{"id":1750,"name":"Assessment","url":"https://www.academia.edu/Documents/in/Assessment?f_ri=22277","nofollow":false},{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false},{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false},{"id":9470,"name":"Early Childhood Literacy","url":"https://www.academia.edu/Documents/in/Early_Childhood_Literacy?f_ri=22277","nofollow":false},{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277"},{"id":25795,"name":"Testing","url":"https://www.academia.edu/Documents/in/Testing?f_ri=22277"},{"id":30140,"name":"Early Childhood","url":"https://www.academia.edu/Documents/in/Early_Childhood?f_ri=22277"},{"id":89676,"name":"Science and Mathematics Education","url":"https://www.academia.edu/Documents/in/Science_and_Mathematics_Education?f_ri=22277"},{"id":98795,"name":"Literacy Education","url":"https://www.academia.edu/Documents/in/Literacy_Education?f_ri=22277"},{"id":1380411,"name":"Computer Adaptive Test","url":"https://www.academia.edu/Documents/in/Computer_Adaptive_Test?f_ri=22277"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_3886382" data-work_id="3886382" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/3886382/Learning_and_teaching_early_math_The_learning_trajectories_approach_2nd_Edition_">Learning and teaching early math: The learning trajectories approach (2nd Edition)</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">This is the second edition of the "teacher" volume of our two “Companion” books. We believe that our successes are due to the people who have contributed to our projects and to our commitment to grounding everything we have done in... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_3886382" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">This is the second edition of the "teacher" volume of our two “Companion” books. <br />We believe that our successes are due to the people who have contributed to our projects and to our commitment to grounding everything we have done in research. Because the work has been so heavily researched, we decided to publish two books. The first book—this one—reviews the research underlying our learning trajectories. The second book, the companion to this one, Learning and Teaching Early Math: The Learning Trajectories Approach (Clements & Sarama, 2009), describes and illustrates how these learning trajectories can be implemented in the classroom. <br />Because it is in the classroom that mathematics comes alive, we urge those most interested in this, the research review book, to read the companion book as well. The illustrations of children’s wonder, excitement, and especially thinking and problem-solving, help prevent the research reviews from giving the mis- impression that the main story of learning trajectories is children marching through a series of learning levels. Such a dreary picture is the opposite of that we are trying to paint, which is of children filled with curiosity and creative ideas, and teachers excited about helping them see the world through mathematical lenses"</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/3886382" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="fcd3ce2ff705bdde05d4e7221d304a7a" rel="nofollow" data-download="{"attachment_id":34527684,"asset_id":3886382,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/34527684/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26547" href="https://udenver.academia.edu/DouglasClements">Douglas H Clements</a><script data-card-contents-for-user="26547" type="text/json">{"id":26547,"first_name":"Douglas","last_name":"Clements","domain_name":"udenver","page_name":"DouglasClements","display_name":"Douglas H Clements","profile_url":"https://udenver.academia.edu/DouglasClements?f_ri=22277","photo":"https://0.academia-photos.com/26547/8652/8219/s65_douglas.clements.jpg"}</script></span></span></li><li class="js-paper-rank-work_3886382 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="3886382"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 3886382, container: ".js-paper-rank-work_3886382", }); 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$(".js-view-count[data-work-id=3886382]").text(description); $(".js-view-count-work_3886382").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_3886382").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="3886382"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">9</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2731" href="https://www.academia.edu/Documents/in/Mathematics_Education">Mathematics Education</a>, <script data-card-contents-for-ri="2731" type="text/json">{"id":2731,"name":"Mathematics Education","url":"https://www.academia.edu/Documents/in/Mathematics_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3489" href="https://www.academia.edu/Documents/in/Curriculum_Studies">Curriculum Studies</a>, <script data-card-contents-for-ri="3489" type="text/json">{"id":3489,"name":"Curriculum Studies","url":"https://www.academia.edu/Documents/in/Curriculum_Studies?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="3753" href="https://www.academia.edu/Documents/in/Early_Childhood_Education">Early Childhood Education</a>, <script data-card-contents-for-ri="3753" type="text/json">{"id":3753,"name":"Early Childhood Education","url":"https://www.academia.edu/Documents/in/Early_Childhood_Education?f_ri=22277","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="22277" href="https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education">Math Education in Early Childhood Education</a><script data-card-contents-for-ri="22277" type="text/json">{"id":22277,"name":"Math Education in Early Childhood Education","url":"https://www.academia.edu/Documents/in/Math_Education_in_Early_Childhood_Education?f_ri=22277","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=3886382]'), work: {"id":3886382,"title":"Learning and teaching early math: The learning trajectories approach (2nd Edition)","created_at":"2013-07-07T06:59:18.483-07:00","url":"https://www.academia.edu/3886382/Learning_and_teaching_early_math_The_learning_trajectories_approach_2nd_Edition_?f_ri=22277","dom_id":"work_3886382","summary":"This is the second edition of the \"teacher\" volume of our two “Companion” books.\r\nWe believe that our successes are due to the people who have contributed to our projects and to our commitment to grounding everything we have done in research. Because the work has been so heavily researched, we decided to publish two books. The first book—this one—reviews the research underlying our learning trajectories. The second book, the companion to this one, Learning and Teaching Early Math: The Learning Trajectories Approach (Clements \u0026 Sarama, 2009), describes and illustrates how these learning trajectories can be implemented in the classroom.\r\nBecause it is in the classroom that mathematics comes alive, we urge those most interested in this, the research review book, to read the companion book as well. The illustrations of children’s wonder, excitement, and especially thinking and problem-solving, help prevent the research reviews from giving the mis- impression that the main story of learning trajectories is children marching through a series of learning levels. 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Omówiono także alternatywne strategie, takie jak: metody bazujące na koncepcji pedagogicznej Montessori, Froebla, Steinera, Domana czy Friedrich, de Galgóczy i Schindelhauer, a także Naglaka, Rokity i Rzepy. Pokazano również nowe, oparte na technologiach informacyjno-komunikacyjnych, przestrzenie aktywności matematycznych: środowisko rzeczywistości wirtualnej i cyberparków. Odniesiono się ponadto do uczniów ze specjalnymi potrzebami matematycznymi, którzy wymagają jeszcze innych metod pracy. W tym kontekście wyjaśniono różnice między takimi problemami z matematyką jak akalkulia, dyskalkulia czy specyficzne trudności matematyczne. Wreszcie ukazano to, jak rozpoznać w klasie uczniów uzdolnionych matematycznie, jak z nimi pracować oraz wyróżniono kompetencje zawodowe, które powinien posiadać nauczyciel takich uczniów. Rozdział kończy krótkie podsumowanie zachęcające do refleksji nad procesem nauczania matematyki.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/42479415" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="8f5c6ae04cbc8babd0c0591b8a58e491" rel="nofollow" data-download="{"attachment_id":62654991,"asset_id":42479415,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/62654991/download_file?st=MTczMzAzOTAxMCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="8115401" href="https://amu.academia.edu/MichalKlichowski">Michal Klichowski</a><script data-card-contents-for-user="8115401" type="text/json">{"id":8115401,"first_name":"Michal","last_name":"Klichowski","domain_name":"amu","page_name":"MichalKlichowski","display_name":"Michal Klichowski","profile_url":"https://amu.academia.edu/MichalKlichowski?f_ri=22277","photo":"https://0.academia-photos.com/8115401/2810495/39509228/s65_michal.klichowski.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-42479415">+1</span><div class="hidden js-additional-users-42479415"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://amu.academia.edu/TomaszPrzyby%C5%82a">Tomasz Przybyla</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-42479415'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-42479415').html(); 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